Query what a breakdown in order by both sides might look like: rogue settlements staying on the wrong side of the fence, various palestinian militias claiming different towns/neighborhoods, etc. You'd have a very complex geopolitical map (it's there now, really) populated by violent amateurs.

Isreal has been at war, or nearly so, since before its inception. The underlying problems are religious, political AND economic - military force one way or the other won't really solve them. I.e. even should Hamas (or some entity) wipe Isreal off the map the region itself will still be a chaotic, violent mess. And there's always the danger that five hundred years afterwards more Jews will decide to resettle the place again. Likewise, even if the Palestinians themselves were to agree to a ceasefire (or be killed, driven off, etc) there are still plenty of other Arab Muslims around the world who'd have no problem attacking Israel and trying to eliminate it - or just get revenge or whatever.

If the Isrealis *really* want a grand strategy, it will have to be moral, religious and psychological. The war rests in their immediate enemies' heads and not in Kalashnikovs or bomb factories. Note that the USA defeated the American Indians not just through blood, but through destruction of their belief systems - few modern Native Americans even speak their own language, let alone believe in any kind of resistance to the US.