We did the breakfast at 1900 Park Fare on our last trip and we found it to be one of the longer character meals mainly because it seemed to take forever for the characters to get around to all the tables. We had a later ADR time and were seated right away but it took 1 hr 15 minutes before we were finally able to see Alice and the Mad Hatter. It seemed like every 15 minutes or so they were going into a back room for a break. I'm not sure if this is the normal experience or not but we have found other character breakfasts at Crystal Palace, Ohana, and even the old Restaurantosaurus to be much quicker in getting the characters around.
So to answer your question, unless you eat quickly and leave before seeing all the characters, you probably won't be done in time for an appointment at 9:15.