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 / Updated / Source: NBC News By Alexandra Jaffe 
 
 Republican presidential front-runner Donald Trump said Sunday that there is a “very severe problem” with some Muslims, and declined to say whether he’d support a Muslim president of the United States. 
 
 In an interview on NBC’s “Meet the Press,” Trump said that he feels “strongly that Muslims are excellent. I know so many Muslims that are such fabulous people. 
 
 But he continued,“We can be politically correct and say there is no problem whatsoever, but the fact is, there is a problem with some and it’s a very severe problem and it’s a problem that’s taking place all over the world.” 
 
 Asked by host Chuck Todd whether he’d support a Muslim president, Trump dodged. “Would I be comfortable? I don’t know if we have to address it right now. Some people have said it already happened,” he said. 
 
 The comments are sure to further inflame controversy sparked by Trump last week when he declined to correct a questioner at a New Hampshire town hall who denounced Muslims as a "problem" in the U.S. and asserted both the President follows the religion and wasn't born in the U.S. 
 
 The questioner asked, "When can we get rid of [Muslims]?" and Trump replied, "We are going to be looking at that and plenty of other things." After the event his staff issued three different statements clarifying his response. 
 
 On Sunday, Trump acknowledged that President Obama has said he’s a Christian, and added “I’m willing to take him at his word on that. I have no problem with that.”But Trump was less willing to budge on his skepticism of President Obama’s citizenship. 
 
 Trump has questioned whether the president was born in the U.S. for years, holding an infamous 2011 press conference calling for the president to release his long-form birth certificate to prove his citizenship. The real-estate mogul has repeatedly declined to disavow the “birtherism” conspiracy, and again refused to do so on Sunday. 
 
 “I just don’t want to discuss it,” he said, rattling a list of other issues he’d rather talk about: Jobs, the military, veterans. 
 
 “The other’s a long, complex subject and I just don’t like talking about it,” Trump added, referring to President Obama’s citizenship. ||||| AP Photo Trump doesn't correct man who says Obama is Muslim 
 
 Confronted with a questioner who called Muslims a "problem" and asserted that President Obama is a Muslim and not American, Donald Trump did not correct him on Thursday night. 
 
 "We have a problem in this country, it’s called Muslims. Our current President is one. We know he’s not even an American,” said a questioner at a town hall in New Hampshire. “We have training camps growing where they want to kill us. That’s my question, when can we get rid of them?” 
 
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 “A lot of people are saying that and a lot of people are saying that bad things are happening out there. We’re going to be looking at that and a lot of different things,” Trump responded. 
 
 Trump has been a leading proponent of the discredited theory that Obama was not born in the United States. 
 
 "The media wants to make this issue about Obama. The bigger issue is that Obama is waging a war against Christians in this country. Christians need support in this country. Their religious liberties are at stake," a Trump campaign spokeswoman said in an email. 
 
 Democratic front-runner Hillary Clinton hit back at Trump on Twitter, tweeting: "Donald Trump not denouncing false statements about POTUS & hateful rhetoric about Muslims is disturbing, & just plain wrong. Cut it out. -H” ||||| Speaking at a campaign rally in New Hampshire, Trump told the crowd he’d field their toughest questions. 
 
 “Make them vicious, violent, terrible questions,” Trump said. 
 
 ADVERTISEMENT The first man stood and declared: 
 
 “We have a problem in this country, it’s called Muslims. We know our current president is one — you know he’s not even an American. But anyway, we have training camps growing where they want to kill us. That’s my question, when can we get rid of them?” 
 
 Trump responded: “We’re going to be looking at a lot of different things, a lot of people are saying bad things are happening, we’re going to be looking at that and plenty of other things.” 
 
 A second man stood and made the same claim. 
 
 “I applaud the gentleman who stood and said Obama is a Muslim born abroad and about the military camps, everyone knows that,” he said. 
 
 “Right,” Trump responded, before quickly moving to the next questioner. 
 
 President Obama is a Christian and was born in Hawaii in 1961. 
 
 Trump spent years questioning whether President Obama was born in the U.S. When Obama publicly released his long-form birth certificate in 2011, Trump took credit, saying he had pressured the president into doing so. Still, Trump has signaled that he remains unconvinced that Obama was born here. In 2012, Trump said he’d pony up $5 million to the charity of Obama’s choice if the president would release his college transcripts and passport history. As recently as July, Trump has said he doesn’t know where the president was born. "I don't know. I really don't know," he told CNN . "I don't know why he wouldn't release his records." 
 
 Trump on Thursday also fielded a question from a conspiracy theorist who told him that there is a “new holocaust” in New Hampshire and that people are being loaded into boxcars and beheaded by members of the Islamic State of Iraq and Syria. 
 
 “I just wanted you to know that,” the woman said. 
 
 Trump moved on without addressing the woman’s claim. 
 
 The campaign rally in Rochester drew about 3,000 people and was Trump’s first public event since the GOP presidential debate in Simi Valley, Calif., on Wednesday night. 
 
 Trump opened the rally, which lasted for only about 45 minutes, by boasting about a series of online polls that found him the winner of the debate and of his endorsements from football greats Tom Brady and Mike Ditka. 
 
 He hewed closely to his stump speech, saying that under his leadership, the U.S. military would be as powerful as ever, that he’d build a great wall to keep illegal immigrants out and that he’d deport illegal immigrants that are violent criminals “so fast your head will spin.” 
 
 Trump responded to a question from a man upset about raises for federal workers by saying that he wouldn’t accept a salary as president. 
 
 And a day after locking horns with businesswoman Carly Fiorina at the GOP debate over her record as CEO of Hewlett-Packard, Trump continued to bash her record as an executive. 
 
 “She did a terrible, terrible job,” Trump said. 
 
 — Updated at 8:33 p.m.
– Donald Trump, apparently forgetting about the time he pressured the president of the United States into producing his birth certificate, failed to correct a man at a town hall event last night who claimed President Obama is a Muslim—and not an American. The questioner at the Rochester, NH, event described Muslims as a "problem" and went on to say, "Our current president is one. We know he's not even an American. We have training camps growing where they want to kill us. That's my question: When can we get rid of them?" Trump responded: "A lot of people are saying that and a lot of people are saying that bad things are happening out there. We're going to be looking at that and a lot of different things," Politico reports. When another man stood and said he wanted to "applaud the gentleman who stood and said Obama is a Muslim born abroad and about the military camps," Trump said, "Right" before moving on, the Hill reports. Hillary Clinton calls Trump's failure to denounce the remarks "disturbing," while DNC Chairwoman Debbie Wasserman Schultz calls the candidate's behavior "horrendous" but "unsurprising," saying "Trump's racism knows no bounds," CNN reports. Trump's campaign manager tells CNN that Trump didn't hear the remark about Obama being Muslim, and that the real issue is the president's "war on Christianity." (A recent poll found that 43% of Republicans still think Obama is a Muslim, which rises to 66% among Trump supporters.)