Hamas was voted-in. The last election the Palestinians were allowed. There's no certainty that this would happen again. Most of the Palestinians living today have no memory of ever having voted, because of Hamas.

And after they were voted in, they purged Fatah from Gaza through violence and murder.

But let's be realistic - if a Palestinian state were to emerge from the wreckage of the current conflict, how could Hamas possibly lose an election? They would be the Founding Fathers of that country - the ones who correctly tossed aside Fatah's strategy of trying to gain a state through peaceful negotiations. They would be the ones who forged a Palestinian state through blood and fighting and sacrifice. They'd win in a landslide!

And if they didn't, there's always the Taliban option of just taking over once the multinational force leaves....

I don't see a middle ground. Take a chance on peace, or finish what you started and displace them all (killing most of them).

Or do neither. Just continue the current unhappy medium. You never have peace, because Hamas (and others) will keep trying to kill you; but you're not going to kill all the Palestinian people to prevent that. You try to find a middle ground, and just do that indefinitely.

If the two "final" outcomes are the destruction of the Jewish people in the area, or the destruction of the Palestinian people in the area, the least-bad outcome is the non-final one - where the indefinite status quo just goes on interminably....