This is unsurprising to me. Those who got college degrees or more and yet make below median incomes (or even below 75th percentile) are near unanimously Dem all over the country. Keep in mind that grad students and most government employees <10 years out of school will fall in this category. Conversely, people who make above the 75th percentile but didn't graduate college are near unanimously Rep just about everywhere. Clinton lost because college grads above the 75th income percentile came home to Trump just enough.
Regarding the gender gap, I think it is something that has been massively overhyped for a while. It's basically a 55/45 phenomenon. At the end of the day, most spouses/partners still agree with each other. It was also less of a phenomenon in the distant past, so it doesn't surprise me that Florida had one of the lowest gender gaps in the country.
I agree - it's pretty clear that education, not gender, played a more important role in most states. The issue I think is more interesting is the Midwestern divide - specifically, the significantly smaller magnitude of the gender gap in Iowa and Ohio compared to Minnesota, Wisconsin, and Illinois. Do you think there's a reason for this? I think P123's conjecture of an urban-rural divide may be the case - but Ohio still seems to be a weird case.
I don't know about most of your question, but in regard to Illinois: White men in IL, depending on the region but also regardless of the region (outside of the city of Chicago), are actually more Republican than those in IA, MN, WI and MI, if I remember correctly.
