Just as most of the citizens of Iran are victims of an Islamic totalitarian government, just as many Germans were victims of the fascist dictatorship that took hold of their nation, most human beings living near the southeast bit of the Levantine Sea are victims of actions outside their control.
They're collectively paying the price for horrific violence on both sides of an ugly, tragic conflict that they have no power over.
Giving those victims some sovereignty and peace would not be "rewarding" extremists, it would be taking a tiny step towards sanity.
Or is it kind of logical that when you vote actual genocidal maniacs into power and cheer for them as they return from murder and rape, you hide the hostages they took and refuse to do anything to stop them, then maybe you aren't completely innocent?
I think you omitted part of it.
Not withholding UN funds that Israel was tasked with distributing, right?