Since your idea will not occur until after the abolition of original sin, and since Israeli defeat will mean their necessary extermination, and since Palestinian defeat will not mean their extermination, but only their expulsion, at worst, I favor the Palestinians military defeat and occupation, including the installation by Israel of a puppel government, as was done in Germany and Japan after WWII. If the Palestinians continue to do violence, I favor their expulsion to some other Arab country (Syria seems a good choice). If this occurs, and Palestinians cross the border, invaders should be shot.
If you think that there is no difference between forcible expulsion and extermination, please take it up with the Cajuns of Louisiana, who were known as the Acadians of Canada before they were forcibly expelled by the Brits after the French and Indian War. I do not expect that the Cajuns are happy about this expulsion (the one's in Longefellow's Evangeline were not), but they are not currently making violent attacks against their old homes, in what is now Nova Scotia, so far as I know.
Emphatically, NO!
However, when the two sides are asked the same question, one does NOT emphatically say "No". In fact, they are teaching their children that the answer is "Yes". Until they renounce their stand and have a 'change of heart', which means a modification of their inculcated beliefs; then, the two parties(neutral and persecuted) that do not support any eradication are forced to take up arms in defense against the 'one' party that seeks to eradicate the 'Great Satan' as it calls its enemies and their people. Apparently, there is one party that feels that 'evil people of a society' cannot be separated from 'ALL people of that society'. They lack the quality of discernment, and, as such must be judged as lacking such, and dealt with as any without discernment must be dealt with---harshly, IMHO.