Columbia University has fallen

[DBCowboy]

Yes but you are referring to the war, let's assume Israel finishes off Hamas and ends the Gazan operation exactly as you described. Then what happens? 

Gaza gets rebuilt millions if not billions of aid, money supplies flood Gaza. Whoever is in power gets to divvy it up ever how they see fit. Most likely they will do exactly as Hamas did try and build up to harass and fight the IDF, not only is it human nature it has been proven to be part of the indoctrination process for the average Gazan child. 

this approach just seems to kick the can down the road till there is another uprising

Then you kill them harder so they never WANT to do it again.