The question is, what did Obama get out of it? He doesn’t do anything unless he thinks there’s going to be something in it for him.
The Muslim Brotherhood won. That’s what’s in it for the Left.
He gets to help transnational Islamic terrorism, aid the formation of the Greater Caliphate and help prepare the way for the coming attack on Israel. Plus, he gets to generally weaken the US and show the world how dangerous it is to be an ally of or have a rapprochement with the US.