Here are several comments from Allearsnet.com.
http://allearsnet.com/tp/rdszep.htm#1
which has a section for each park entitled "WDW At-Large". I found this to be very helpful.
Mission: Space
As a very large Disney guest (400+) and in a wheelchair(due to a severe leg injury) I have a couple tips. We had a wonderful experience with a great Cast Member at MGM. However, a total opposite experience at the new Mission Space. While still near the doorway trying to decide whether I should try it or not the snotty little blond cast member took it upon herself to come over and loudly proclaim in front of all that she would not recommend I even try going in as someone my size didn't have a chance of fitting in the ride. That not only ruin that ride but ruin the entire day for me. I then refused to go on anything that day for fear of the same embarrassment. (Joan, 2004)
Editor's Note: This type of behavior is not typical at WDW. If you sadly encounter a Cast Member like this, ask for a supervisor to explain what happened.
The newest attraction in the World is Mission Space, in Epcot. If you get claustrophobic, do NOT ride this. (However, you can bail out up until the time you enter the "capsule," so if you're not sure, check it out.) We rode this twice -- both times I was on an outside seat (it seats 4 across) and my size was not an issue -- the seat was wide enough. My husband, on an inside seat, did not complain, either. However, when they closed the capsule, it wasn't quite closing. I suspect it might have been my stomach causing this problem. Finally, when they opened and re-closed the capsule, I pushed down on the panel in front of me, and it seemed to catch.
Being a larger person at Disney can be difficult at times, especially on the older attractions. However, it appears that the Imagineers have recognized this and the newer rides are designed to accommodate us. Mission Space is no exception. I have the chance to ride MS yesterday and I wanted to let anyone who had fears about being stuck or not fitting - not to worry. I am a 6'2" 350lb person and I had no trouble at all fitting. In fact it was rather comfortable.