Biggest reason that the Draft will never happen in the same capacity it was during Korea, Vietnam, and before, is because the next time it happens, they're going to have to enlist women, or else there's going to be some serious backlashing on the part of a lot of dudes.
If any president in the future institutes the draft, I will sue the government to high heaven (along with pretty much every other penis clad dude) for mens rights based on the fact that if women want out of the kitchen, they're also going to need to pick up a gun and groundpound with the boys in the event of a draft.
Equal rights means equal everything. You can't pick and choose, bitches. We aren't just here to make the first move, pick up the tab, AND pick up the gun... There's no way it's constitutional otherwise.
And you know, that if that sort of thing ever got into courts, it would stall any war draft before it even started. Womens groups would flip a new one and hooooly fuck there would be a domestic shitstorm in such an event.
Problem solved. No women. No draft.