I just don’t think it’s necessary to be ruthless to those visa violators who would voluntarily leave peacefully.
Now if their having a fit and causing damages as they feel forced to leave, that’s something else.
As long as you can accurately predict, every time, which one is which, your plan would work. Otherwise, just like in the old days (remember that PSA?) every alien would have to register with the government by 1/1 each year. Failure to register invalidates any privileges to stay here. Go back where you came from and start over if you want to come back.