I received the following reply from a Disney expert on another site. My question related to what happens if you are staying in WDW (which some of us are) when a hurricane is approaching:

My mind is always on the weather
I actually have first-hand experience with this one. Minnie Answer and I rode out Hurricane Charley at the World. You've given me a great opportunity to explain what usually happens at the World during a hurricane.
In the unlikely event that a hurricane is imminent:
First and foremost, WDW resort buildings are built to withstand hurricane-force winds. You will be told to shelter in place at your resort room.
If the parks do not open at all (dependent on what time the hurricane is predicted to hit), you will be instructed to stay in your resort room until the storm has passed. If you have patio furniture, you'll be asked to bring it inside the room. You'll be told to keep the drapes closed and to stay away from windows.
If the parks open for part of the day, you'll be told by phone announcement and written message at your resort what time the parks are expected to close. When the parks close, you'll be instructed to leave immediately in an orderly fashion, and told to return to your room and stay there, as described above, until the storm passes. Transportation will run continuously to the resorts until every guest has cleared every park.
Many guests consider it to be an inconvenience when the parks have to close early, but it is absolutely necessary. The Cast Members are charged with getting all guests to a safe place, and to secure the parks and resorts before the storm. Further, Cast Members must have time to get to their own homes to secure them and to make sure their own families are safe. Safety is always the number one priority.
NOTE: These are just general guidelines for guests. In the event of a real storm, please follow whatever instructions are given, which may change from the above depending on circumstances. WDW Cast is fully trained to handle emergencies, so be sure to listen to their instructions and follow them.
TIP: Be sure to have non-perishable food and water or other bottled beverages in your room. Hurricanes can take several hours to pass, and you should never under any circumstances be out wandering in one. Even when the eye passes over, and there is relative calm outside, do not leave your room. In a very short time, the storm will start again, and you may be caught off-guard.
MYTH BUSTER: Having been in the Magic Kingdom a few hours before Hurricane Charley hit, I can report that at no time did any of Cinderella Castle's turrets leave the castle. They are built to withstand extremely high winds, and are not removable.