There are 3 outs to this conflict: Israel absorbs Palestine (and probably does a genocide), Palestine absorbs Israel (and probably does a genocide), or they start to be friends and live together.

Context matters a bit on this : Jews have been harassed for litteral millenia. After ww2 were they were harassed even more than before, they were given their original land from were they were chased millenia ago. You can argue it's partly their fault for keeping their culture and religion eventhough they're all over the world, but I think one should be free to live its life regardless of its religion.

Fast forward to today: Israel became as racist and intolerant as everyone gave them through history, so out 3 is quite not likely. Palestinians are not really better on this, because they've been chased from their homes to begin with and war took its toll, and it's now decades of apartheid to fuel hatred and resentment.

Was it for them only, Palestine would be erased and Muslims genocided or deported in the neighboring countries. But both the UN and the neighbor Muslim states are very much hostile to Israel and several wars happened so that it would be the Palestinian who would genocide and deport the Jews. But they lost, partly because Israel is supported by the USA.

Now the USA will support Israel forever. I guess they like to have an outpost in the area. So Israel won't be deleted in the foreseeable future. But UN and the USA (oddly) don't want to see Palestine erased. Which lead to parents and kids situation.

In brief, Israel and Palestine would gladly fight to the death (I guess Palestine hope for an escalation with the neighbouring countries). But UN doesn't want that (because the US want to be seen as the good guys, and no one wants the US to gain more ground than what they have with Israel). And there we are: the kids hate eachother but the parents don't want anyone to win, because each parent has a favourite child.

The deadly loop of apartheid => terrorism => apartheid needs to end, but no one wants it.