What do you think should happen to non-violent criminals? How would you enforce laws pertaining to non-violent crimes or are such acts by definition non-crimes under your worldview?
I mean...surely you're aware that, at this time, already, there are many people committing non-violent crimes, and being sentenced, and not being incarcerated, right? Punishments include fines, travel restrictions, wage garnishment, loss of license or ability to hold certain types of position, monitoring of movement, there's quite a list. Unless you think "all people convicted of a crime go to jail" is already true- and it is not- the answer to your question is "what we're already doing".