If this really is a takeover by moderate Muslims, you can be sure that Obama is already trying to find a way to stop them. It is clear to anyone with eyes to see that Obama supports and defends radical Muslim theocratic dictatorships as is enforced in Iran, and does not like moderate more Western regimes like in Egypt and Israel.
Obama does not support rule by Moderate Muslims and he certainly does not want any kind of 'rule by the people'. He is going to try to stop this popular movement and to put his Muslim Brotherhood in control somehow.