This sort of thing would get your ass kicked in the 'Corps.
This is not a criticism, just an acknowledgement that the US Army is traditionally made up of citizen soldiers. Namely, where the draftees go in times of conscription.
I personally believe that there ought to be a broader tolerance in the US Army of these fundamental freedoms, meaning that the US Army is where the atheists and Wiccans and homosexuals who choose to serve their country belong, in addition to the average Joe and Jane from Main Street USA. The US Army was originally intended to be comprised mainly of regional brigades assembled from the average citizen at least minimally fit for military service.
Understand clearly, however, this 'minimally-fit' criteria has no place in the Marine Corps.
Actually, I know a number of atheist marines... 3 to be exact.