Military training for conscientious objectors

I was reading about two American soldiers[1][2] who served as medics in the US Army during the Vietnam war. Both were conscientious objectors and both received the Medal of Honor posthumously.

I wonder what their initial military training would have been like: How did the Army handle the unusual case of freshly inducted recruits who were not willing (I assume) to even touch a firearm, a bayonet or a weapon of any kind? Were there special rules and regulations in place that addressed this issue, maybe even special training platoons? Or would there have been incessant confrontations between these recruits and their instructors?
[1] https://en.wikipedia.org/wiki/Thomas_W.Bennett(conscientious_objector)
[2] https://en.wikipedia.org/wiki/Joseph_G._LaPointe,_Jr.