I definitely can see Jews voting against the GOP because of "anti-intellectualism", but it seems like there are plenty of whites who place a very high priority on education who vote quite Republican.
Places like Huntsville, Alabama, Shelby County, St. Tammany Parish in LA, Williamson County, TN, Colin County, TX, Douglas County, CO, Hamilton County Indiana, etc. tend to have a lot of very Republican, well-educated whites. Perhaps "intellectual" isn't the right word for them, but they certainly care about their kids getting a good education.
Perhaps those types of voters are hybrid "intellectual/anti-intellectual" voters? The type that would speak poor grammar and wear cowboy hates yet at the same time write normally and place a high priority on college?
These are just some thoughts, but whenever I hear "anti-intellectual", I get a little skeptical as that being a big reason.
It's not really the contemporary GOP being "anti-intellectual" as it is their thinly veiled contempt/hostility toward People Who Aren't Like Them.
Those upper-middle class white Republican-voting suburban enclaves that you mentioned place a high value on
their children's educations, but good luck getting them to support more public resources and funding toward the educations and communities of poor children and their families.