I don't think it will go well at all. The current generation 18-25 grew up watching the forever wars we were in and seeing what the government did. I know people give crap to Gen Z, but the ones I know have a good grasp on the world and are very skeptical of what the government and the older generations keep preaching and isn't working. I think most just wouldn't show up for the draft.
I've seen here, on other forums, and vets I know they don't want their children serving. If a draft came they would most likely try to go in place of their kids. The whole fact that generational military families are now saying "hell no" speaks volumes to me. Unless the mainland USA is invaded people aren't going.
One X factor that both sides have and hasn't, IMO, been explored yet is the fact that we have the internet. The new generation grew up with having instant communication. I think it is harder for the government to white wash certain things.
As others have said. Why are we going to go to fight a war in a foreign land, for what?
I have thought that the politicians can be the first to go. I don't care if it is a 85 year old congress person in a wheelchair. They can go to basic training with the very people they want to send to war. Here is your rifles and shovel. No special status or treated any different.
I believe that the draft falls into some categories listed in the 13th amendment. The draft is a form of slavery and indentured servitude. A drafted person can't leave or has free choice to not be there. For me it comes down to freedom of choice. The government is forcing the drafted person to be there at gun point (if the cops or feds come to arrest that person they will have guns) It is kidnapping. Pretty simple to me.
Text of 13 Amendment to the constitution of the USA
https://constitution.congress.gov/constitution/amendment-13/
Thirteenth Amendment
Section 1
Neither slavery nor involuntary servitude, except as a punishment for crime whereof the party shall have been duly convicted, shall exist within the United States, or any place subject to their jurisdiction.
Section 2
Congress shall have power to enforce this article by appropriate legislation.