No. While Rush Limbaugh was a commentator—mostly on partisan politics—who often discussed some conservative policies and objectives, he very rarely discussed the philosophical foundations of these principals and I know no one who would call him one of the intellectual writers in conservatism.
As for President Trump? Of course not. He is a populist who supports many conservative principles but he is more of a pragmatic figure who sees those principles as a vehicle for political success.
Of course there are conservatives. But there are far more Republicans who are much like Rush and President Trump. The ideas—the bumper stickers—sounds like something they like, but too few have taken the time to read Hayek, Sowell, Locke, Smith, Friedman among others.
This is not unique to those j the Republican Party. Most Democrats know nothing if the writings of Dewey, Keynes, or Rawls, much less of Alinsky, Horkheimer, Adorno, or Marcuse. They too are the bumper stickers. These are those who hear things they feel comfortable with but just as the bumper-sticker Republicans, if you scratch very far you realize they have no understanding of the core principles what they speak. So, thst leaves them with essentially with the argument of: “Your guys are wrong and our guys are right.” This is no more of a debate or learned conversation than two drunk guys in a bar arguing about whose NFL team, both with 5-8 records, are better.
Yours is that type of question which I care not to engage in. I don’t care about the bumper stickers.