Shutting everything down in favor of quarantine is very problematic. If child care and schools shut down, no parent can go to work. Unless they get someone else to take care of their children, in which we've effectively bypassed the lockdown entirely. If this is the solution, let's hope most of your doctors, nurses and their auxiliaries don't have kids. And that is to say nothing of the economy of lockdown.
Herd immunity is a very real thing, and considering most young people can get affected with rather mild symptoms, perhaps a steady infection rate to build up immunity among the population is way better than hoarding and locking down.