The fact is, turnstile jumping and a host of other low-level crimes are, in fact, going on the records of undocumented immigrants and this is, in fact, placing them at grave risk of deportation.
Turnstile jumping is often charged by the police as theft of services, a misdemeanor under New York State law and one that is considered a crime involving moral turpitude, and consequently a removable offense under immigration law.
When a person is arrested, even for a misdemeanor, he or she is fingerprinted, with fingerprints then loaded into a database that is shared with the Federal Bureau of Investigation and U.S. Immigration and Customs Enforcement. As a result, federal immigration authorities have access to an alleged offender’s last known address and other information that can be used to locate him or her.
I dunno, if we can't expect foreigners to come into our country legally, can't we at least ask that they obey our laws while they're here?