I really don't see a problem with Bibles and the Military.
People of all beliefs are free to worship with their own books in their rooms.
If you don't like it, don't open it.
Believing in a Creator has given great comfort to countless families who've lost loved ones in the Military.
I use the Bible as good luck in Vegas where I may store money or sports betting slips--
I realize that some may view that as blasphemous but the Bible is in my room for my personal use .
Many retired folks relocated there with their Hospital but it was sent west/southwest as so many were in the 1980's .