I can't help but think this is them trying to institute mandatory indoctrination of the so-called 'woke youth". I'm not sure it'd actually work, though. When I was stuck in the military, I met a ton of people from many different backgrounds. If anything, I got even more left-wing in my time there. It seemed that to me, the lifers skewed Republican quite a bit, while junior personnel were all over the place politically.
Why they're floating this now, I have no idea. The draft is something that people tend to vote against, after all.