Why not just keep it?
Exactly. Why go in to destroy some hornets and pull out later and leave the nest? It seems to be a cycle with Israel. Palis attack; Israel does some small retaliation; Palis attack again; Israel goes bigger; Palis surge; Israel goes in country as now. Then they will pull out again as they always do.
The Israelies unilaterally gave the Palis the Gaza Strip. Now, they're paying for that stupid political move.
Israeli patrols through Palestinian territory are routinely attacked by militants, mostly boys, throwing stones. They speed through and sometimes get hurt. They do not respond to the attacks as the intent is to force them to open fire. (Yes, that sounds insane, but it’s the life-has-no-value way the game is played.) If they are not willing to fire at the boys then they will take wearing damage every day. Firing will be videoed and used as evidence of Israeli brutality. In the total it will be a PR disaster.
expel all the Palestinians