Maybe it's a bit too Machiavellian but this all seems like some political novel plot.
Hamas for no reason starts a rocket war with Israel. Morsi comes to the rescue for the US, gets praise to all high heaven from the US and others, and one day later executes a political coup giving him dictatorial powers.
It all seems a little too convenient.
Morsi didn't do this on a whim, it was well thought out and well timed.