I was caught up in that. I graduated HS in 1970 and got number 18 in the Draft Pick. I didn't think I was going to get by that one. I consulted with several people and was advised to apply as a Conscientious Objector. Opportunistically, I was also told that while accepting alternative service (i.e. working in a hospital) was a matter of conscience, it would not be looked upon favorably.
I had to appear before the local board at least twice. They interrogated me but would not let me use the Bible. I don't think I was very convincing or the men on the board were ultra-patriotic. Ultimately, I was denied and had to arrange to go to the Appeals Board, the last stop.
After Nixon had promised to end the war in order to get re-elected, I had to go to Fort Dix, NJ to get my physical exam. While there and having a mild cold, I was issued a classification (I can't remember what it was) evaluating as a deferment.
So, I didn't have to go. Nevertheless, that did not ease the anguish I faced with the options of having to go to jail or leaving the country and being separated from my family. That would come to be in play later.
It was many years after that I ended up writing to the Society regarding the Malawi - Mexico issue. I put it in terms so they would understand the dilemma I had faced while now learning that it's a matter of conscience for Mexican JWs to bribe someone for a military card.
The bastards never answered me.
Etude.