The anti-war movement in the 1960s was treated with kid gloves because it was leftist. The current regime is very unlikely to be so lenient.
They'll not only go after the draft dodgers but the parents as well for "conspiracy" to evade the draft. The parents will lose their jobs, be subject to arrest, their other children will be subject to being harassed at school, bullied online and denied admission to college. You won't even be able to register your car, your bank balances will be frozen and credit cards canceled.
There are a thousand techniques of coercion available when you exercise unchecked authority.
Read up on the American Protective League and the “Slacker Raids” during WWI.
We have not covered other issues, particularly the poor physical and mental shape of a majority of potential recruits. You would need six months at the equivalent of fat farms to have them lose weight and detoxify before you sent them to basic training. We had a draft up and running for over a year before Pearl Harbor but it wasn't until mid-1942 that American forces were available in the European theater. I doubt that China and Russia will wait for our prolonged training needs.
The draft is off the table for these and other reasons.
Doing a draft or not is irrelevant.
The US no longer has the industrial base to equip hundreds of thousands or millions of draftees.
(The Marine Corp can’t even currently obtain current camo pattern uniforms)