That's what having rights means: One person can stop everyone else from doing something that infringes on the rights of that one person. "Separation of church and state" is not in the Constitution? Tell the Supreme Court that. That congress shall make no law respecting an establishment of religion means nothing if one is unable to stop the government from subjecting you to a religious exercise. So the Army forces you to listen to prayers. You have every right to raise the issue with your chain of command, though I understand there are practical concerns that strongly dissuade soldiers from doing so (especially if you're in the USAF). A responsible, conscientious senior NCO or officer should take immediate corrective action to make sure your rights are respected.