The peace treaty will survive, but if it was a cold peace under Mubarak, it will now become a freezing peace under any new government regardless of its structure. I do not doubt a scenario where Israel will try to destabilize Egypt the way it did in Lebanon which may even include explosions at strategic locations and blame it on th Palestinians in an attempt to portray Egypt as a lawless country without a dictatorship like Mubarak's. The only country that can benefit from destabilizing the new Egypt is Israel and if Israel choses that path, the peace treaty will be most definitely be annulled regardless of the consequences.
Zimbabwean charged over killing of Cecil the lion (Reuters)
from the article: Egypt will maintain its peace treaty with Israel, military says