Disney Co. will not allow you to suit in any Disney owned installation. Crackers the Corporate Crime (fighting) Chicken was arrested in The Magic Kingdom on camera and interrogated, and his chicken suit was probed by security for bombs. This was seen on Michael Moore's TV Series on Bravo “The Awful Truth”.
However, On halloween in recent years, Disney has allowed full closed face costumes, and several fursuiters have gone, and rode on the rides while in fursuit. Just be away there are no changing areas, and there is a long walk between the parking lot and the actual theme park