We will have to agree to disagree, I think.

You seem to be under the false assumption that the Israeli government actually cares about bringing any of the hostages home safely, when it's pretty obvious they don't. Their actions have shown this very clearly. The hostages can't be useful leverage if Israel doesn't give a shit about them in the first place.

Given that Israel's current governmental coalition is predicated on the continuation of the war, along with Bibi's own impending legal peril once he is forced out of his position, why would you think they would ever agree to any kind of deal? It's pretty obvious to anyone paying attention that all these elusive "ceasefire negotiations" Israel has "participated" in, have been in bad faith the entire time. They literally assassinated Hamas' own lead negotiator! It's merely a carrot they can wave around to convince the western audience to keep supporting them, "See? A ceasefire deal is just around the corner so keep those weapons and money flowing!"

This so called "division and turmoil" caused by the demonstrations sounds great and all, but it's ultimately inconsequential and amounts to less than nothing unless they plan on putting an end to the current regime.