That's the sad truth. Misogyny is not enough of an issue to sway American women as a voting bloc. They get it every day from people close to them and have internalised it to the point where it's not a dealbreaker. Abortion however, is.
Sounds like the calculus is simple. You either push your candidate to embrace a solution that has majority support with the democratic party voter base or risk losing a chunk of voters who've decided that genocide is their red line. I don't see how attempting to browbeat them is going to work. Especially as doing that gives license to the democratic party to shift the Overton window even further right.
Idk, American support for Israel doesn't seem like it would stretch to risking US troops. Weapons are one thing, American lives are another.
I could see Trump trying to fob this onto Blackwater or whatever they're called now.