I read that team Trump is making a major push to get low educated low turnout men to vote more. They are well aware of the stats.
Where have you heard that?
I don't recall now. I read it, not heard it - somewhere. It makes total sense however. That's the most loyal base of all. Trump himself has said he loves uneducated people, not as a Christian or something, but because that is his food source as it were.
The thing I worry about is starting in the 2024 cycle, Republicans becoming an explicitly "pro-men party" and Democrats dig their heels deeper to feminism and MeeToo as a pushback. Too large of a political gender divide spells really bad news for society.
In theory one good thing about a larger gender divide though is things should become a bit less geographically polarized in theory, since men and women are more or less close to evenly distributed across the country.
Are they? For my masters degree I had to look at a variety of demographic indicators and one of the clearest ones was that urban and metropolitan areas skew female while rural areas skew male. The explanation I was not quite able to grasp but it seems a mix of women reaching higher amounts of education, which they use to move to major cities; the "equal but opposite" effect of men falling behind more often as well as most of the job opportunities in rural areas (often related to farming or livestock) tending to prefer men?
Admittedly that was only for Spain (and not even the entire country, just a subset of 35 municipalities; though the trend applies nationwide). I know even right next door in Portugal the trend doesn't exist, so it may not apply in the US.