If the hallmark of an intellectual is respect for reason, honesty, integrity and the facts then clearly BOTH sides of the political aisle are lacking in these character traits. The "Right" and Reps make no pretense to be advocates of reason since they are the religious party based on faith. The "Left" postures as the reasonable, respectable and intellectual alternative to the Right and yet they feel compelled to shut down any opposition with ad hom, smears, political correctness and, since the govt controls virtually all the scientific research, cutting off your funding if you don't toe the line. The trick is then to say "see, even science supports our positions" and to use that to advance political goals with a rigged system. This is what Ayn Rand called "The Establishing of an Establishment" in her book "Philosophy: Who Needs It" which you should read if your question is honest.

That said, I think there is certainly some anti-intellectualism on the Right and behind Trump's success (no surprise). However, I don't think the nation is awash in irrationality, racism, misogyny, etc (though that is the Left's scary, dishonest spin) and the election was, at least partly, a repudiation of the Left's posturing as the intellectual, reasonable alternative.