I think it is the exclusionary nature of some circles that cause people to dislike it.
Whether is is "cliquish" popularity, or "intellectual snobbery," I believe the source of ill-feeling is the belief of being excluded (or otherwise lacking the ability to take part).
So I think any type can be anti-intellectual.
IMO, most self-labeled "anti-intellectuals" are in-fact marginally "intellectual" themselves.
I'm switch between anti-intellectual and intellectual every alternate Tuesday