How to get Israel to back down in that scenario? They seem pretty committed to keeping this going.
Bibi has been found guilty by his own court system of gross corruption. Bibi tried to neuter his country's court system as a result, which pissed off a lot of Israel's population. Everything from 10/7 onward has been done to encourage Israelis to rally 'round the flag and keep fighting the enemy. Bibi goes to jail if the perma-war stops. Bibi does not want to go to jail.
Ironically enough, I do business frequently with a secular Israeli dude who has introduced me into some of the circles he runs in (mainly other secular Israelis), and they all seem to despise Benjamin "Nutty-Yahoo" Mielekowski and his ilk.