Nah, they wont draft unless shit gets extreme.

America loves their military while its voluntary and they get to thank people who arent their children for their service. When your child is concscripted against their will and comes home in a box the patriotism runs out real fast.

They could try things like buying up any student debt and freezing it while your serving. The prospect of provided housing and medical is not nothing these days or just straight up loosening the entry requirements.