Can the market prevent criminals who kill innocent people or rob someone else's property from entering a statist society?
Could elaborate a little?
I think you are looking at the negatives rather than the positives of human behaviour.
People made plenty of presumptions about Italian immigrants in America, and the nature of the slumlike areas they inhabited.
An interesting story once went that Jane Jacob in the 1960s made a call to a Boston city planner, telling him that she intended to move to North End, an Italian dominated area. He bluntly told her it was a slum. She asked him to check some statistics on the place. He ended up admitting that North End had lower crime rates, disease rates, and delinquency rates than the Boston average.
It's because nobody noticed that the Italians had long grown out of criminal behaviour, and long had started to prefer the better paying peaceful middle class life.
Yes, the "market" or "human reality" does ensure that immigrants take it easy and choose social cohesion over anything else. Stereotypes about immigrants and criminals are well-founded, but are also obviously cynical.