Just one other little possible factor, if I may be forgiven the Wheels-Within-Wheels moment:
What better way to keep tabs on potential troublemakers than to give ‘em a big job title....along with a great big office where they’ll spend most of their time?
JMHO, that may be how/why Petraeus got that CIA gig from The 0. Set him up just like a duck in a shooting gallery....
That could be the case here in the US, but the Muslim Brotherhood is a different koranimal. They wouldn't be satisfied with such a position. Their purpose is to install Sharia law in the world.