I'll post that even though campers will be moved, there could be a lock down on the resort rooms once you are moved. We went during Francis and had a 24 hour lockdown where we were told to stay in our room (at Pop Century). We never lost power or cable or water and we never saw anyone, including guests, outside during the storm. Disney was great and had showing of Disney movies on their channels while the locals channels told us their was a storm going on - over and over and over and over.
As an aside - my sister and her family and my dad and stepmother all lived in the Florida Keys for well over ten years. If they had to evacuate for a hurricane, they went to Disney World because it's one of the safest places in the state.
OP - you have nothing to worry about, Disney knows what to do and does it well.