I was a teacher in the inner-city during the war in Vietnam. Since I am female, I do not know what the deferment guidelines were, but I don't recall a deferment for teaching. I may be mistaken.
Could you get a deferment for being married? I'm trying to remember.
One of the reasons that this war is remembered with such pain is that it split the nation for years.
It was certainly an eye-opener for me about how deceptive the government can be.