all the european countries have strong medical systems that don't let anyone through the cracks. Many also don't have prison systems like we have but are more focused on rehabilitation, and the 'why' people commit crimes. Sure murderers/rapists lock up, but non-violent people reward them for NOT using violence to commit a crime w/ house arrest, community service, and fines.
If we had guaranteed medical, we'd have a check on mental health. Probably the #1 cause of crimes in America is poor mental health and the stress of living in America.