That includes the barracks and family housing on base? After all, the housing is also on public property. And that includes any place of worship on base. Get rid of them all.
To an extent it does and always has included military housing and the barracks. They are military property. Barracks rooms are not college dorms. They are inspected regularly. They must conform to certain standards. Generally, you aren’t allowed to hang anything on the walls. There are areas in your locker that are designated for personal use. Depending on your base you could have 1 or more roomates.
Military housing are less stringent, however you can’t hang/post signs or symbols on the outside of the structure. The outside grounds are inspected regularly. You are also responsible for your dependants behavior.