If you look closely you can see that Obama is acknowledging the authority of the new heads of state just by suggesting that it should be "restored" to the Muslim brotherhood. If Obama ACTUALLY wanted Morsi back he'd be funding rebels who want to fight for him.
I just get the feeling that this is MUCH more complicated than Obama going against the will of Egypt's people.
I'm reminded of the term, astro-turf (which i only learned when a man screamed it at me while driving past my OWS camp).
"I send you out as sheep in the midst of wolves, be wise as a serpent and harmless as a dove."