No, its the exact opposite on the surface. Most industries aren't impacted by political beliefs. You can be a doctor or programmer and express your political beliefs without any impact beyond people taking their business elsewhere. The military is expressly apolitical. That doesn't mean the people within it are apolitical, but when you put on the uniform you put that shit away and follow lawful orders and the UCMJ. I know you see hatch act violations in DC pretty regularly, but its enforced a lot more in the military.
Yes, law enforcement and the military skews republican, but I think that's more to do with the budgetary support of that party than the normal party pillars. Abortion for example, is probably not something you'll see strong feelings about among the rank and file in the military. Republican leanings, in my experience with the military anyway, is more about voting for your wallet than anything else.