Military Religious Freedom Act of 2012 - Requires the Armed Forces to accommodate the conscience and sincerely held moral principles and religious beliefs of its members concerning the appropriate and inappropriate expression of human sexuality, and prohibits the Armed Forces from using such conscience, principles, or beliefs (beliefs) as the basis of any adverse personnel action, discrimination, or denial of promotion, schooling, training, or assignment. Prohibits any member from: (1) directing, ordering, or requiring a chaplain to perform any duty, rite, service, or function that is contrary to his or her beliefs; or (2) discriminating or taking any adverse personnel action against a chaplain for refusing to comply with a direction, order, or requirement that is against his or her beliefs.
Prohibits a military installation or other property owned, rented, or under the jurisdiction or control of the Department of Defense (DOD) from being used to officiate, solemnize, or perform a marriage or marriage-like ceremony involving anything other than the union of one man with one woman.