You are grossly over-simplifying anti-intellectualism, some streams of which are extremely valuable. Your claim only fits the "thalamic anti-intellectual", one of at least five broad types Eric Raymond discusses.

The most important and useful to society is the "epistemic-skeptical anti-intellectual. His complaint is that intellectuals are too prone to overestimate their own cleverness and attempt to commit society to vast utopian schemes that invariably end badly." Of course lefties who want to change society to fit their theories try to smear them with claims like yours, but:

Because it’s extremely difficult to make people like F. A. Hayek or Thomas Sowell look stupid enough to be thalamic or totalitarian enough to be totalizers, the usual form of dishonest attack intellectuals use against epistemic skeptics is to accuse them of being traditionalists covertly intent on preserving some existing set of power relationships. Every libertarian who has ever been accused of conservatism knows about this one up close and personal.

And:

"If “intellectuals” really want to understand and defeat anti-intellectualism, they need to start by looking in the mirror. They have brought this hostility on themselves by serving their own civilization so poorly. Until they face that fact, and abandon their neo-clericalist presumptions, “anti-intellectualism” will continue to get not only more intense, but more deserved."