If we do not believe in freedom of speech for those we despise we do not believe in it at all. - Noam Chomsky

If by 'intellectual' you mean people who are a special class who are in the business of imposing thoughts and forming ideas for people in power, and telling people what they should believe...they're really more a kind of secular priesthood, whose task it is to uphold the doctrinal truths of the society. And the population SHOULD be anti-intellectual in that repect.

The one-sided class war of the last 40 years is becoming two-sided. The population is actually beginning to participate instead of just accepting the hammer blows. We now are having a huge strike. One of the major strikes in American history, when workers are simply saying, we’re not gonna go back to the rotten, oppressive jobs, precarious, broadens circumstances is novel, we’re just not gonna accept it. And that’s a major factor in the economy now. And yes, it’s a strike and it’s showing up in other ways too, there are, for example, the teacher’s strikes were quite important. These are non-unionized red states, tremendous popular support. When you live in Arizona, where one of them was signs on every lawn, supporting the teachers, not a radical state by any means. They were not just calling for better wages, which they greatly deserve, but for saving the children, saving the public school, public education, which has been under severe attack for 45 years.

The progressive intellectuals, people of the John Dewey circle ... took great pride, as you can see from their own writings at the time, in having shown that what they called the "more intelligent members of the community," namely, themselves, were able to drive a reluctant population into a war by terrifying them and eliciting jingoist fanaticism.