That's a problematic issue. In my old Army, the military were interested in the beliefs of the recruits because it was concerned about first left-wing and later right-wing extremists. Young people tend to have extreme beliefs, which made it even more apparent.

As both of these groups could be expected to be devoted soldiers and loyal to the nation (Maoists encouraged their supporters to do military service well, because they feared Soviet invasion and because they believed in a popular militia - the right-wingers were nationalistic per definition) they had already influence - the soldier's union was definitely left-leaning, whereas it was well-known a bit too many officers were too right-wing for political comfort.

But both groups also included prospective terrorists and criminal elements who could get the idea to break into military depots and steal weapons and rob banks for the Cause. (The big sweep to get rid of right-wing extremists started after some such events) So it was a delicate issue no one was really comfortable with and I got the feeling no one wanted to ask about politics unless a recruit was clearly unstable or saying too disturbing things.

But I can't say the military itself did encourage political or religious expression of officers. Gideonites gave us bibles at some time, and we visisted the bishop's church where the female chaplain said something fuzzy, but these were voluntary things, and the most political thing the officers tended to display were photos of the royal family.