I don’t believe the Selectivve Service website addreses this or many other sensitive (politically) issues.
My understranding of such things (I worked for them breifly; it was disgusting) is that they would draft a gay man, provided he were not open about it… that is, were he not “telling”.
I know for a fact that they had detailed procedures as to what to do if a man claimed he was in the stages of a transsexual procedure. It depended on how far along he was; if he’d actually been “cut” and done irreversible changes to his sexuality. If a guy was to have gone in and just said he couldn’t be drafted because he was going to become a woman, then they wouldn’t have bought it. They were looking for some indication that he was into it with no going back.
Refusing to “Don’t tell” would likely get you sent into what they now call “alternative service”. It’s al ill-defined thing that all draft boards are supposed to prepare with their local communities so that all those who are physically capable but object to serving in uniform will have some service to give for a period of time approximating the time of conscripted military service. Since service in uiniform is a 24 x 7 thing, alternate service hours in the civilian community to equal a like number of hours means many more years in this type of service. Do the math. (There are 17,480 hrs in 2 yrs; that’s be 437 40 hr. weeks, if my math isn’t too far off. That’s something like 8 or 9 years, depending on vacations and sick time.)
The other side of this alternative service is that since draft boards won’t come into being until a draft is revived, no comunity contacts for alternative service service have been set up or would be until the boards were operational. So if they did a draft next Thursday, then there would be a huge scramble to set things up and (among many other things) get alternative service set up. My read on things at the time (1992) was that they really thought most guys would go in with little problem, and that this alternate service would be a small thing to worry about. Of course, this was wishful thinking. Anyway, there would in actuality be little consistency or oversight of alternative service. As long as the local board was able to say to HQ everything was good to go, there’d likely be little if any inquiries. So… if I were draftable and didn’t want to go, I’d work with my employer to get him or her to go to the draft board and ask to be designated as an alternative service site, saying it benefitted the community in this way and that. Then all I’d have to do is get the employer to let the draft board know I showed up for work and put in X hours. (Know also that it would be illegal to just plain submit fake claims for this service, and that if they found out you could get into all kinds of trouble. Theoretically.)
Gay claims wouldn’t even have to enter into it. All one has to do under the law is to say they object to military service on moral grounds. You don’t even have to be a member of what they call a “peace church” (like the Quakers) anymore, as court rulings have said that membership vs. nonmembership constitutes religious discrimination.
There are a lot of other issues that would make a real revival of the draft a huge fiasco. But they aren’t any part of the OP, so rather than drift into a rant, I’ll conclude with saying:
Gay would have got you out of the draft in the Vietnam days, but it would also have marked you with a then-unacceptable (in most places) stigma. I don’t know how this this worked; I don’t think they branded your forehead, but I am pretty sure they made the information available to prospective employers by some means.
Gay wouldn’t get you out of the draft today (were there one) in and of itself. Openly and unquietly gay wouldn’t work with the DoD now, though. The draft people would either send you to the Coast Guard if you wanted to be in the service and out of the closet, or to a yet-to-be-constituted program of alternate service if the uniform wasn’t your style.
FYI, being openly gay is no bar to service in the US Coast Guard. Their policy is that if one engages in any kind of sexual harassment (hetero- or homo-), that’s bad for the organization and unprofessional, and you get disciplined as the service sees fit. There has, to my knowledge, been no problems or inequalities with this policy.