Precisely the opposite is true. Since the new rulers cannot solve or even reduce those things such extremism is precisely the answer to their political problems. Whip up hysteria, ensure mass support, and get people to forget or ignore their “real” problems. There is an Arab expression often used as the battle cry of this method: Let no voice rise above the din of battle. Or, to put it another way, Shut up! We’re busy trying to kill Jews here!
In my opinion, the coming developments in Egypt are going to dwarf any threat from Iran, certainly for the next two years.