The Washington Times reports that states can imposed their own penalties on illegal immigrants who commit identity theft to get a job, as in the front page story Tuesday May 3, 2016, top banner, here.
The Ninth Circuit ruled in favor of Maricopa County sheriff Joe Arpaio on Monday.
The Lifetime film "Identity Theft: The Michelle Brown Story" (2004, dir. Robert Dornhelm) comes to mind, as a true story where this really happened.
Wikipedia attribution link for Maricopa County (Phoenix) AZ courthouse. (author “Tony the Marine”).