It would be strategically counterproductive for Israel if their stated intentions were true. This won't make hezbollah "uncouple" from Hamas.

The intention is really to start a war so big the US has to step in, which would be catastrophic for everyone, Israelis included.

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.