PHOENIX (AP) — Republican presidential hopeful Donald Trump criticized U.S. immigration and trade policies on Saturday in speeches that veered from accusing Mexico of deliberately sending criminals across the border to professing respect for the Mexican government and love for its people. 
 
 Republican presidential candidate Donald Trump waves to the crowd as he arrives to speak at a rally before a crowd of 3,500 Saturday, July 11, 2015, in Phoenix. (AP Photo/Ross D. Franklin) (Associated Press) 
 
 Republican presidential candidate Donald Trump speaks at FreedomFest, Saturday, July 11, 2015, in Las Vegas. Trump said his comments about immigration have become a movement and has pointed to violence... (Associated Press) 
 
 Republican presidential candidate Donald Trump waves to supporters as he arrives speaks before a crowd of 3,500 Saturday, July 11, 2015, in Phoenix. (AP Photo/Ross D. Franklin) (Associated Press) 
 
 Republican presidential candidate Donald Trump shakes hands prior to speaking at a rally before a crowd of 3,500 Saturday, July 11, 2015, in Phoenix. (AP Photo/Ross D. Franklin) (Associated Press) 
 
 Speaking to a gathering of Libertarians in Las Vegas before headlining an event in Phoenix, Trump repeated his charge that Mexico was sending violent offenders to the U.S. to harm Americans and that U.S. officials were being "dumb" in dealing with immigrants in the country illegally. 
 
 "These people wreak havoc on our population," he told a few thousand people attending the Libertarian gathering FreedomFest inside a Planet Hollywood ballroom on the Las Vegas Strip. 
 
 In the 4,200-capacity Phoenix convention center packed with flag-waving supporters, Trump took a different view — for a moment — and said: "I love the Mexican people. I love 'em. Many, many people from Mexico are legal. They came in the old-fashioned way. Legally." 
 
 He quickly returned to the sharp tone that has brought him scorn as well as praise. "I respect Mexico greatly as a country. But the problem we have is their leaders are much sharper than ours, and they're killing us at the border and they're killing us on trade." 
 
 His speeches in both venues were long on insults aimed at critics and short on solutions to the problems he cited. When he called for a wall along the U.S.-Mexico border, the audience in Las Vegas groaned. 
 
 In a break from the immigration rhetoric that has garnered him condemnation and praise, Trump asserted that he would have more positive results in dealing with China and Russia if he were president and said he could be pals with Russian President Vladimir Putin. 
 
 Asked by an audience member in Las Vegas about U.S.-Russia relations, Trump said the problem is that Putin doesn't respect Obama. 
 
 "I think we would get along very, very well," he said. 
 
 Trump has turned to victims of crime to bolster his argument that immigrants in the U.S. illegally have killed and raped. In Las Vegas and Phoenix, he brought on stage Jamiel Shaw Sr., a Southern California man whose 17-year-old son was shot and killed in 2008 by a man in the country illegally. Shaw vividly described how his son was shot — in the head, stomach and hands while trying to block his face — and how he heard the gunshots as he talked to his son on the phone. 
 
 Shaw said he trusted Trump, and encouraged the crowds in both cities to do the same. 
 
 Trump's speeches were filled with tangents and insults leveled at business partners such as Univision and NBC that have dropped him in the wake of his comments that Mexican immigrants bring drugs and crime to the U.S. and are rapists. He also directed familiar barbs at other presidential contenders, including Democrat Hillary Rodham Clinton ("the worst secretary of state in the history of the country"), news media figures ("lyin' Brian Williams") and President Barack Obama ("such a divisive person"). He called journalists "terrible people." 
 
 As Trump lambasted Univision for cancelling its broadcast of the Miss USA pageant, one of his many business enterprises, a group of young Latinos unfurled a banner pointed toward the stage and began chanting insults. They were quickly drowned out by the crowd, and nearby Trump supporters began to grab at them, tearing at the banner and pulling and pushing at the protesters. Security staff managed to get to the group and escorted them out as Trump resumed speaking. 
 
 "I wonder if the Mexican government sent them over here," he said. "I think so." 
 
 Arizona's tough-on-immigration Sheriff Joe Arpaio introduced Trump in Phoenix after outlining the things he and the candidate have in common, including skepticism that Obama was born in the United States. He went on to criticize the federal government for what he called a revolving door for immigrants, saying many of them end up in his jails. 
 
 "He's been getting a lot of heat, but you know, there's a silent majority out here," Arpaio said, borrowing from a phrase Richard Nixon popularized during his presidency in a speech about the Vietnam War. 
 
 A single protester standing outside the room where Trump spoke in Las Vegas was more concerned about the businessman being tied to the Libertarian Party. 
 
 "I've been a Libertarian for 43 years and Trump ain't no Libertarian," said Linda Rawles, who asserted that including Trump in FreedomFest set back the party's movement. 
 
 ___ 
 
 Pierceall reported from Las Vegas. ||||| Republican presidential candidate Donald Trump, whose caustic comments about Mexicans have inflamed the immigration debate, told thousands of cheering supporters here Saturday that “we have to take back the heart of our country.” 
 
 In a rambling, defiant speech delivered in this border state that has been the epicenter of the nation’s divisive battle over immigration reform, Trump declared: “These are people that shouldn’t be in our country. They flow in like water.” One man in the crowd of 4,200 shouted back, “Build a wall!” 
 
 Basking in polls that show he has risen to the top of the crowded Republican field, Trump took obvious glee in mocking former Florida governor Jeb Bush, the establishment favorite who is setting fundraising records. 
 
 “Jeb Bush, let’s say he’s president — Oy, yoy, yoy,” Trump said. He asked the crowd: “How can I be tied with this guy? He’s terrible. Terrible. He’s weak on immigration.” 
 
 Trump’s 70-minute address here, which sounded more like a stream-of-consciousness rant than a presidential-style stump speech, put an exclamation point on his bombastic push since his presidential announcement last month to return immigration to the forefront of the national conversation. 
 
 Republican Presidential candidate Donald Trump addresses supporters during a political rally in Phoenix on Saturday. (Charlie Leight/Getty Images) 
 
 Bush and illegal immigrants were not the only targets of Trump’s scorn: He also criticized Macy’s, NBC, NASCAR, U.S. ambassador to Japan Caroline Kennedy, Democratic presidential candidate Hillary Rodham Clinton and, several times, the media. 
 
 Republican leaders say they believe the celebrity billionaire has virtually no chance of being their nominee, much less of making it to the White House. And, for now at least, his following seems limited to the far right as opposed to the party’s mainstream. 
 
 Yet Trump has reignited a heated debate over an issue, immigration, that the GOP had been determined to settle after it hurt Republicans in the most recent presidential election. 
 
 Party leaders increasingly fear that Trump could do damage to more viable candidates, such as Bush, who could lose their own footing on immigration. These candidates confront a familiar challenge: During the primary season, they must deal with the anger and anxiety that many on the right feel about illegal immigration. But they must do it in a way that will not damage their appeal to a broader electorate in November 2016. 
 
 Republicans are handling Trump delicately for another reason as well: They fear that he could leave the GOP entirely and wage a well-funded third-party campaign, a possibility that Trump has not ruled out. 
 
 [GOP leaders fear damage to party’s image as Donald Trump doubles down] 
 
 After Trump repeatedly referred to illegal immigrants in the harshest of terms — calling them, among other things, killers and rapists — Republican National Committee Chairman Reince Priebus called Trump and asked him to tone things down. But that, if anything, has reinvigorated Trump and his vocal supporters. 
 
 1 of 9 Full Screen Autoplay Close Skip Ad × Cutting ties with Trump: Who has dumped him and why View Photos The Republican presidential hopeful has faced an avalanche of criticism over his characterization of illegal immigrants as “rapists,” drug dealers and other criminals. Caption The GOP presidential hopeful has faced an avalanche of criticism over his characterization of illegal immigrants. José Andrés, chef Chef José Andrés has backed out of a deal with Trump, saying in a statement, “Donald Trump’s recent statements disparaging immigrants make it impossible for my company and I to move forward with opening a successful Spanish restaurant in Trump International’s upcoming hotel in Washington, D.C.” Sarah L. Voisin/The Washington Post Buy Photo Wait 1 second to continue. 
 
 The crowd in Phoenix began lining up outside the convention center before dawn, with many spending hours in temperatures that exceeded 100 degrees. Hundreds of people, who stood in lines snaking down several downtown blocks, did not make it into the ballroom for his speech. 
 
 Many of Trump’s supporters blame illegal immigrants for crime and economic problems but also express dismay over cultural changes. 
 
 “We don’t recognize our country anymore,” said Jan Drake, 72, who lives in a retirement community outside Phoenix. “If you’re coming into our country, you have got to conform to what we stand for. You speak English. You don’t try to change our country to what your country was.” 
 
 After watching Trump on television the past couple of weeks, Drake said that she has become convinced that “he would be a very strong president. He doesn’t kowtow to anybody. The Republican Party will try to squeeze him out because they’re afraid of him. But he can tell them where to go — to pound sand.” 
 
 After he walked onto a catwalk stage here like a rock star, Trump basked in his crowd. “The word is getting out that we have to stop illegal immigration,” he said. 
 
 While Trump was railing against Spanish-language broadcaster Univision, a handful of protesters in the crowd interrupted. Trump’s security guards arrived to break up the skirmish that followed. His supporters screamed “USA! USA! USA!” in the protesters’ faces as the guards escorted them out of the convention hall. 
 
 “I wonder if the Mexican government sent them over here,” Trump said from the stage. He assured the crowd, “Don’t worry, we’ll take our country back.” 
 
 Trump also had harsh words for Islamic State terrorists. If he becomes president, Trump said, “They will be in such trouble . . . ISIS, believe me, I would take them out so fast. You have to do it.” 
 
 But it was his crusade against illegal immigrants that had Trump’s crowd most enthused. After expressing shock that his immigration message has resonated so strongly with the GOP base, Trump said, “The silent majority is back, and we’re going to take the country back.” He walked off the stage to Twisted Sister’s “We’re Not Gonna Take It.” 
 
 Earlier, as his plush Boeing 757 headed from an appearance in Las Vegas to Phoenix, Trump sat in a leather chair, surrounded by binders of articles about him and sipping a Coca-Cola — the full-calorie kind, he noted, because, “Have you ever seen a thin person drinking Diet Coke?” 
 
 “Something is happening in America. You may not want to see it, but something big is happening. People are sick and tired of politicians, and I’m here for them,” he said in an interview. “I’m ready to go right at the Mexican government. I’m going to charge them $25,000 per illegal immigrant and, oh, I’ll make them pay.” 
 
 (In his Phoenix speech, Trump put the figure at $100,000.) 
 
 “Would Bush do that? Would Rubio? I don’t think so,” Trump added, taking aim at two of his more mainstream rivals, Bush and Sen. Marco Rubio (R-Fla.). 
 
 Polls consistently show that a majority of Americans, including most Republicans, support an overhaul of the law to give millions of undocumented immigrants a means of staying in this country legally. But a passionate fraction of the Republican electorate believe otherwise. 
 
 Lou Brudnock, 71, said he is attracted to Trump’s brash “truthfulness” on immigration and his willingness to be politically incorrect. 
 
 “This country today is sad, sad, sad,” Brudnock said. “You can’t say anything or they call you ‘a racist.’ It’s like we’re back in Nazi Germany. But look around, man. It’s people here reading and listening to his message.” 
 
 Trump, by virtue of his celebrity, has provoked a backlash far more widespread than ever seen toward lesser-known immigration hard-liners, such as former Colorado congressman Tom Tancredo (R). That means he could leave lasting damage to the GOP and whoever turns out to be its 2016 standard-bearer. 
 
 All of those cross-pressures were in play Saturday at Trump’s appearances here and in Las Vegas. More mainstream Republicans had anticipated the spectacle and made no secret of their concern. 
 
 “I had hoped that we had moved on from some of the coarse rhetoric,” said Sen. Jeff Flake (R-Ariz.). “When there’s so many candidates, you can appeal to a very small segment of the population and get news and get elevated.” Flake is a leading proponent of a comprehensive immigration measure that would include a path to citizenship for those who are in the country illegally. 
 
 Arizona has been a hotbed of anti-immigration sentiment, having passed a 2010 law that requires law enforcement officials to check the immigration status of people they detain and suspect are in the country illegally. 
 
 Maricopa County, Ariz., Sheriff Joe Arpaio — who in some ways is the face of that law, having been the subject of racial-profiling lawsuits — helped warm up the crowd before Trump’s arrival. 
 
 “I know that Donald Trump is speaking out,” Arpaio said. “He’s getting a lot of heat. But, you know, there’s a silent majority out here.” 
 
 “We’re not silent anymore!” a man in the crowd shouted. 
 
 Arpaio brought up the mostly dormant questioning of President Obama’s birth certificate. He and Trump are perhaps the most vocal of the “birthers,” who falsely contend that Obama was not born in the United States. 
 
 Immigration also has gained new attention after the June 30 shooting death of a woman along San Francisco’s heavily touristed waterfront, allegedly by an illegal immigrant who had been deported five times from the United States. 
 
 Trump — along with much of the rest of the Republican field — has criticized the policies of “sanctuary cities,” where officials cannot detain those they suspect of being in the country illegally unless they have other grounds to do so. 
 
 Republican strategists say that it is possible to address anxiety over illegal immigration within the GOP base without alienating the electorate at large. Advisers to Bush and Rubio, for instance, say that their candidates can play a long game on the issue, continuing to make a case for comprehensive changes to the law, while waiting for the Trump boomlet to subside. 
 
 “You can give a fuller picture of those types of people who are coming to America who are not documented, who are not legal,” said Peter Wehner, who was a top official in George W. Bush’s White House. “And you can speak about them in a humane and decent and true way.” 
 
 Karen Tumulty in Washington contributed to this report.
– As Donald Trump continues to trade volleys with Latinos, he took his unrepentant show to Phoenix last night, where he told an enthusiastic crowd that waited hours in 100-degree temps that "we have to take back the heart of our country" and that he was "ready to go right at the Mexican government. I’m going to charge them $25,000 per illegal immigrant and, oh, I’ll make them pay." Trump used the 70-minute speech, which the Washington Post characterizes as more a "stream-of-consciousness rant than a presidential-style stump speech," which "put an exclamation point on his bombastic push" to focus on immigration. "These are people that shouldn’t be in our country," Trump told the crowd of between 3,500 and 4,200. "They flow in like water." He also took the opportunity to further hammer away at GOP golden boy Jeb Bush, saying, "let's say he's president—oy, yoy, yoy. How can I be tied with this guy? He's terrible. Terrible. He's weak on immigration." Bush wasn't Trump's only whipping boy: Also attracting the candidate's scorn, per the Post, were "Macy’s, NBC, NASCAR, Caroline Kennedy, Hillary Rodham Clinton and, several times, the media." (The candidate avoided attracting Neil Young's wrath again and left the stage to "We're Not Gonna Take It" by Twisted Sister.) Trump spoke earlier in the day to a Libertarian crowd in Las Vegas, notes the AP, striking a slightly more nuanced tone: "I love the Mexican people. I respect Mexico greatly as a country. But the problem we have is their leaders are much sharper than ours, and they're killing us at the border and they're killing us on trade." (Even as Trump spoke, Mexico was having a little trouble keeping a notorious drug lord on lockdown.)