Public Safety First ActThis bill requires the Department of Homeland Security (DHS) to detain certain non-U.S. nationals (aliens under federal law) who have been arrested for burglary, theft, larceny, or shoplifting. Specifically, DHS must detain an individual who (1) is unlawfully present in the United States or did not possess the necessary documents when applying for admission; and (2) has been charged with, arrested for, convicted of, or admits to having committed acts that constitute the essential elements of burglary, theft, larceny, or shoplifting.