Yes, I know President Biden has been applying pressure on Israel and working hard towards a ceasefire. I am a proud supporter of President Biden and look forward to voting for him in November. I also happen to be a Palestinian American
The protestors in America do want the war to end permeantly. They want the hostages released. I agree that most protestors haven't put too much thought into the fate of Hamas. The best result would be a deal that allows Hamas fighters to flee to a third world nation like the cowards they are and for the internationally recognized PA to lead the Gaza Strip
I, too, would like the war to end permanently.
However, I am not personally willing to accept an end to the war that allows Hamas to stay in power.
To me, that does not actually end the war permanently. It creates the inevitability of a subsequent war. It also makes any efforts to repair and rebuild Gaza utterly pointless since those funds will be appropriate by Hamas and used to rebuild the tunnel network Israel has been destroying. This is the worst possible outcome for Palestinians.
I would call any "peace" where Hamas remains in power a Hamas victory. Given the choice between the two, I would rather Israel continue its war until Hamas is completely destroyed. Yes even at the cost of civilian casualties.
Furthermore, if Israel were to make
concessions to reach an end to the war where Hamas stays in power, as so many want them to do (concessions including releasing Palestinian prisoners and paying reparations to Gaza), I would consider that to be an Israeli surrender. Which would be absurd, given they're overwhelmingly winning the war on the ground. By rights, Hamas should be the ones either groveling for a ceasefire or taking cyanide tablets in their bunkers.
Naturally Israel feels the same way, which is why the war continues.
I think Biden feels the same way as well and suspect that behind the scenes he is just as frustrated with Hamas's stubbornness as Israel.
Of course, if you are Hamas in this situation you have to be stubborn. You have basically nothing to gain from not fighting to the last man. The leaders of Hamas don't care how many Hamas fighters or Palestinian civilians die. They aren't even in Gaza, they're up in their Doha penthouse hot tubs jerking off to 10/7 videos. To them, at this point, this is probably like when you're playing a game of Age of Empires and you're totally busted but you'd rather recreate the Charge of the Light Brigade than just hit Resign. The main thing they're hoping for right now is that suckers in the west can create enough political pressure on western leaders to transitively pressure Bibi into ending the war early.