Broken Windows strategy was used by Mayor Rudy Giuliani and police chief William J. Bratton to quell crime in New York City during the 1990s. That's why they went after the vandals, the squeegee guys, subway jumpers, and other very minor offenders.
Their "zero tolerance" strategy worked, and "Broken Windows" is now one of the gospels of chiefs nationwide. And that's great, but many of them-especially from "sanctuary" cities-disavow the policy when it comes to immigration violations.
Residing in the United States without legal status is a crime. It's not a serious crime, but it's a crime. To be specific, illegal entry into the U.S. is a federal misdemeanor. If you are here and "undocumented" then you entered illegally into the country. You have committed a crime and that minor offense can quickly snowball into more serious offenses. When a struggling, likely uneducated, immigrant lives in an underground culture with a cash economy bad things are going to happen.
The real problem with not enforcing immigration laws is not the additional minor offenses that undocumented people commit once over the border; it's the "scofflaw" culture that lack of enforcement breeds. Once you break the law long enough with impunity, the law quickly becomes culturally irrelevant. Also, people who live in such conditions are ripe targets for predators of all stripes and that makes everyone less secure.
This is what the people of Arizona have come to realize, and it's why their state legislature recently passed S.B. 1070, a law that gives Arizona peace officers the ability to enforce immigration laws. From the furor over this law, you would think Arizona had set up concentration camps for anyone who speaks Spanish. It hasn't. All the law says is that when officers have probable cause to suspect an immigration violation they have the duty to check it out.