This will end the same a Russia did with the Bolshivicks (a radical minority) running things, and Iran did with Mullahs.
I am not so sure that it will. The US is occupied in two wars and the only leverage they have is the threat of cutting off aid. Egypt is stalling for time. They are killing off fringe players. Israel supports Mubarak.
If Mubarak plays rope a dope for a while, Obama is going to be hampered by his reelection campaign and other crisis. I think he is in a very weak position.
I'm curious to see whether the Turkish Army steps in to prevent Sharia from being enacted or are they already corrupted by Islamists (just like Pakistan).