Trump has declared himself a Republican....note the capital R.  republican with a lower case r has a different meaning.  "The adjective republican describes a government made up of representatives who are elected by the citizens. If you live in the United Statesyou’re part of a republican system of government." from wikipedia...

Trump is using the Republican Party as his (hopeful) means to become President.  He has, to my knowledge, shown no real dedication to the values of a republican form of government.  He's made it very clear.  He's the MAN. He has the answers  they're simple; do as he says and everything will be fine.  That has absolutely to do with representative government.  Those GOP right-wing zealots who see The Donald as the messiah are, in my opinion, very sadly deluded.  Had he thought being a Democrat (notice capital D) would have given him a better change to be President, he'd be "riding the donkey instead of the elephant."  BTW: He's not a democrat (small d) either...