There are anti war protests in Israel against Netanyahu since Hamas attack on the October 7th.

Yes, but not for the reasons you think. The overwhelming majority of Israelis have absolutely no issue with the violence being inflicted upon Palestinians (I can link a source). The right wing keeps growing in Israel, and was even before the war. The protests are happening because even as a genocidal fascist Netanyahu is failing in the Israeli goal of destroying Hamas's ability to wage war (surprise surprise) and bringing the hostages home (more surprise). The government that comes after this won't have Likud, but it'll still be a far right one. Settlements will keep getting built, we'll still have people like "I consider my life's mission to be preventing the creation of a Palestinian state" Smotrich, Gazans will still be forced to live in an open air concentration camp, etc etc. A deal with the PLO is fucking impossible, both because Israel won't get a more moderate government and because the PLO is dead. Mahmoud Abbas is a corrupt Israeli puppet and everyone knows it; even Biden admits the PLO will need to be reformed before they can be trusted to run anything.

TL;DR: Even after the next election, don't expect any good faith peace action from Israel. It won't happen; we've seen this movie before.

A weaker Iran might help, but the way of getting rid of Iran as a problem is a revolution within Iran. I doubt a war against Israel would help with that.

I mean if they're weakened by the war they won't be able to give as much Hezbollah and Syria weapons. That has to count for something.