It's blatantly obvious that Obama doesn't respect Biden. He will always view him as a subordinate not an equal. He even referred to him as VP Biden at one point and then he said it was a joke. I don't think so. It looked to me like he was reminding everyone including Biden "You were my VP and I was your boss and don't you forget it"
What was done there was degrading to the office of the President. Staff can disagree with the President or not like him personally, but they are responsible to the Office, something that involves Presidents both past and future, and I'll include the ex president in that as well.
I know he can't fire the VP, but he should excommunicate her over that show.