Summary
Israel needs to abandon the idea of eliminating Hamas; it cannot be done. Instead it should focus on reducing support for Hamas from Palestinians and other nations, and increase support to enable better sanctioning of nations and groups that support Hamas.
To do that, Israel should first end the war, and then try things it has never done before. Namely ending all illegal settlements, recalling all settlers, return all occupied territories, provide aid and relief to all areas that suffered their illegal occupations, recognize Palestinian return to life, security and self-determinism. It should do this without conditions or demands on anyone else.
I think there is near zero chance of Israel doing that. But I think it's the only chance Israel has to live in some semblance of peace with minimal loss of life and maximum support when something does happen.
I know many will say this will just make Israel a target. I don't see how it makes them any more of as target than they already are. Some will see it makes them look weak, I say it will make them look like compassionate, understanding people. Some will say they've already tried this, but everytime Israel said they'd do anything like this it was tied to conditions of someone else going first and also they actively broke their promises and violated their proposal before, during, and after negotiations.
Israel has to act first in good faith. Not because Hamas has acted on good faith, but because Hamas are terrorists and it's foolish to ask them to do anything good. But Israel needs international support to secure itself as much as possible, and to do that it needs to redeem itself on the world stage.
That's what I think should happen. It's not a solution, it doesn't end violence or guarantee no Israelis will ever die to terrorism, but it's the only chance they have in my opinion.
Flame away.
