Hell no! My guess is 90% of them would love to to be forced to register as a means to further legitimize them. They know they would have a chance of winning a million of actually getting drafted into a war. And if they actually did get drafted into the war, it would only be the mission and the other troops that would suffer the most.
If drafted would they be trained at Fort Dix and wear rainbow berets?
Sorry, I couldn’t help myself.