There's also categorically a WAY easier way to implement this - which is to criminalize and enforce businesses who employ illegal immigrants.
Amusingly, a lot of rank and file on both sides ( and center ) of the aisle would not mind at all. However, somehow the political will in the upper echelons is just not there. Somehow.
Agreed - the laws are in place but not enforced. Raid a few meat packing plants or farms or hotels and the message would get out.