Sorry, as fun as would be to watch that is something that will never happen 'cause it's not the military's job to deal with an insane president, for example the one we have now. Their job is to follow all orders of the CIC (president) that are not illegal. In the case of orders that are illegal the accepted practice is for the officer to resign his commission.
Removing an insane president, for example some dude who might have changed his name to Hussein, is properly done by congress. Yes I know it's bad news but that's the way it is.
Ya see that’s a problem with PC and those afraid to do anything, and why D.C. is an epic disaster. So bad they have endangered the entire country which is in free fall decline. Obama could nuke Oklahoma City and those in D.C. would discuss it, research it, create committees, debate it and investigate it for 18 months, then not do a thing.