We had a number of guys drafted with us who were from a small religious group around he WV/OH/IN area who did not believe in killing or war or even belonging to such an organization. They just quietly but earnestly refused to wear military uniforms or undertake any form of military training which included weapons or fighting. They did all the non-combat training with us and wore their civilian clothes under the weird green-gray Army raincoat of the time throughout basic and were discharged as COs into the IRR at the end of BCT. I had no problems with their beliefs.
There were also those who were
COs - who would not fight or have anything to do with weapons - who were either
drafted or volunteered as Medics or Chaplain's assistants and served honorably. I had no problems with their beliefs, either.
Now the guys mentioned in the film at the start of this thread...
Richard's $.02