Interesing that you think universal health care will make criminals become less criminal. How exactly would that work, in practice?
Universal healthcare prevents a LOT of people from becoming criminals. Just try to successfully hold down a job when you're suffering from extreme shortness of breath or chronic pain from herniated discs. People in those situations can't even work as Walmart greeters because they can't stand up for hours at a time, if at all. No job, no money - so how do you eat, and where do you sleep? What would YOU do if you found yourself in that position?
Sure, many of those "too sick to work" people are also too sick to commit crimes, especially violent ones - but they may have dependent families who are also desperate. And even those who manage to get healthcare are effectively trading their homes and jobs for the "luxury" of having their illnesses treated. The illness may be gone; but so is the old job, along with the home that would allow them to keep their shit together long enough to get a new one.
Then, there are crippling psychological and psychiatric disorders. And again, the same downward spiral - no work, no money, no home, and crime to merely stay alive. For some people, crime is the only way to keep body and soul together between the time they can't afford treatment and the time they either die or end up in the "justice" system.
It's also not unheard of for people to commit crimes specifically so they can be put in prison, because they can't figure out any other way to get medical treatment and/or to be housed, clothed, and fed. Just let that sink in for a moment.