We had a 9.20pm ADR at Chef Mickey's and got there around 9.30 - we were lucky they even let us in. Anyway, we saw the characters in the first few minutes we were there, then they all left. Soon we were the only party left in the restaurant.
NO ONE rushed us, if anything we were told to take our time. The people minding the buffet kept putting up new, fresh food out even though there were only the four of us left. Only when we all started heading to the dessert area did they start cleaning up the dinner buffet.
So, no, we were not rushed, however it was extremely creepy. We ate as fast as we could and got out of there. I wouldn't recommend getting a late dinner ADR there.