No its a crappy idea. America is a free country. You don’t need to be forced into the military for social engineering. The military is designed for the protection of our country its not a re-education camp. Our volunteer military does a good job of protecting the US.
What needs to happen is a re-structuring of the US public school system and better parenting.
Well, start by getting rid of public schools.
I’ve known lots of people from countries that have had mandatory service. Done right, I don’t think it’s that a bad deal.
Parenting does need major improvement too though. That’s assuming that the parents are patriotic and understand freedom.
Restructuring a government-run, cartel, price-fixed and socialist-entitlement K-12 monopoly won't make it less of a government-run, price-fixed, socialist-entitlement, and cartel, monopoly monstrosity.