I found this on U.S. Concealed Carry website:
Thank you for contacting the Walt Disney World Resort.
It may interest you to know we have a strict policy regarding firearms.
Our policy is that no guns are permitted in our theme Parks or Resorts.
If a resort guest brings one on property, it must be locked up in the safe deposit boxes at the front desk, not in a room safe. If guests visiting our theme parks bring in firearms, it must either be left in their vehicle, or checked in with security when entering the park. Only on-duty law enforcement officers whose agency has jurisdiction at the Walt Disney World Resort may carry any weapon.
If you have questions or need further assistance, feel free to contact us.
Sincerely,
— Betsy Mayer, WDW Online Communications