I have a 2.1 law degree from a good RG uni and I voted leave. It's not about the degree - I don't care for rubbing it in people's faces, and I certainly don't think having this makes me a genius - but I have been accused of being 'uneducated', 'unintelligent', or flat out 'stupid' but so many people that I just find the whole thing rather hilarious.
I also have to say the people I know personally who have voted leave (and I live in London where most voted remain) are some of the most intelligent people I know. Heads of departments at big London teaching hospitals, barristers, doctors, researchers. I think it's exceptionally arrogant for someone to claim 52% of the country is stupid.