I don't think it's Israel's aim to eradicate all Palestinians. I think that conclusion is an exaggeration and also unfair upon Israel. Whilst Israel in its current form may be brutal and inhumane, it hasn't quite got that bad. Additionally, Israel is not so stupid as to believe that you could achieve eradication of the Palestinians. There are too many of them and they would always keep coming back. The obscenely high death toll so far, does not come from a deliberate determination to kill Gazans, but just a total disregard for their lives as Israel continues to pursue some gnarled objective of eliminating Hamas. Israel just doesn't care if civilians are in the way.
Why try to effect elimination when suppression generally achieves its ends ? Suppression also gives you the option to use violent suppression when you see yourself under attack. So suppression against an ever increasingly hostile suppressee is the method that Israel has ratcheted up over the decades. Until we have what we have today.
So the Palestinians will keep fighting for a better lot and for relief from suppression and the Israelis will keep fighting back until.......?
Until the two sides are forced to negotiate an end to violence.
And, seeing as how the vast majority of the ordnance meted out over the past 15 months has originated in Israel, it would have made sense for them to have stopped, as a gesture of goodwill, in order that this horror should stop. But they didn't and they have earned themselves the reputation they now have. Much of the obscenity of Israel's actions are, apart from starting them, is the fact that they could have ended them at any time.
Israel has got to stop blocking negotiations. They must sit down and in return for a guarantee of non-violence hand over the whole of the west bank, create free-flow of people from Gaza to WB and help rebuild and trade with the newly created state of Palestine.
Take the right wing Israeli Nationalists and deport them to the newly formed state of Palestine on the WB, where they can live as Palestinian citizens in a Palestinian state. (they'll love that !)
Meanwhile all the peacenik Israelis will live in harmony with its new neighbours. Just an idea.