Military Religious Freedom Protection Act - Requires the sincerely held religious or moral beliefs of a member of the Armed Forces concerning the appropriate and inappropriate expression of human sexuality to be accommodated and not the basis of any adverse personnel action, discrimination, or denial of promotion, schooling, training, or assignment (adverse actions).

Prohibits a military chaplain from being directed, ordered, or required to perform any duty, rite, ritual, ceremony, service, or function (ceremony) that is contrary to the conscience, moral principles, or religious beliefs (beliefs) of the chaplain or the chaplain's faith group. Prohibits the refusal of a chaplain to perform a ceremony that is contrary to such beliefs from being the basis of any adverse actions.

Requires the Secretary of Defense to issue regulations setting forth guidance to implement such requirements and prohibitions.

Prohibits a military installation or other property owned, rented, or otherwise 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.