I understand about guns (I favor gun control, but then I'm gay), but do you think women are more pro illegal immigration than men (to frame the issue a bit crudely, but whatever)? That is an interesting thing to ponder. It might be true. Any data on that one? That is my theme for the month - give me the data!
I went by what the National Journal article said (they also mentioned abortion). After a quick search, a
WSJ/NBC News Poll from 2014, though, suggests the gender gap on immigration works the other way - with men more likely to see immigration as helping rather than hurting. I don't know why, and the article explaining the poll doesn't either, calling it puzzling. There is a huge income disparity on that question, which makes sense. I don't know if there are other polls showing different things.
But that's not my point. When creating a false "war on..." narrative, you only need to stress one or two issues that the group in question supposedly supports that the other party opposes (or vice versa). And there are plenty of
issues that men see differently than women where Hillary Clinton (and most Democrats) take the side more supported by women than men.