Before the outrage patrol get their collective panties knotted up:
Military wide, if you live on base and keep firearms on base, you must register them on base. This policy is pretty standard for all the branches and all bases. Generally, if you live in Housing, you can keep them in housing. If you live in the Barracks or BOQ, they are to be kept in the armory. Its been that way for years.
The military is pretty anti-private-firearms, and has been that way for along time. A typical base is pretty draconian. Cased and locked, unloaded, registered being the standard.