The thing though is that a university degree does confer some amount of critical thinking on
most of its graduates. I'm rather skeptical that
every college graduate is guaranteed to be a smart, critical thinking, nuances person. But I do feel comfortable in saying that most are. And even those that aren't, have been exposed to people who are, have created social networks etc.
So I don't think being a college educated Republican/Conservative is a contradiction. The difference is the college educated person is more likely to believe in facts and reasoned arguments than appeals to passion, or native tribalism. They are more likely to have more faith in institutions, including democracy.
I think its hard for someone who went to college to relate to a person who hasn't been in terms of what kind of effect college has on their lives.