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.
I think you're dead on with your interpretation, and I would like to further the commentary towards the enormous class disparity they are urging everyone towards. ie, only somehow including public schools for this. They test these buttons all the freaking time. And I would say that part of the test is about U.S.'s willingness to move towards an aggressive stance on the world stage. They suck and I hope their demoralizing greed is exposed for all.