I read a story not too long ago, but I have no way of confirming if it's true or not.
There are little ways in which serving military can express their support or nonsupport of the CinC.
One of them had to do with the Marine guard at the door of Marine One. When the president disembarks the aircraft, the Marine guard(s) under Clinton faced away from the aircraft and went to Present Arms.
The Marine guards under Bush 43 faced toward the staircase of the aircraft and went to Present Arms.
Little things like that would mean a great deal to those who perform those duties, seems to me.