Screw that, I got a better idea.
How about we provide some sort of provisional visa that allows immigrants into the country even if they don't have any papers. It would permit them to work, but they would also have law enforcement checking in on them regularly just to make sure everything's on the up-and-up - no warrant needed (they aren't citizens yet anyhow) but we'll have them sign a waiver anyhow. Full biometrics can be taken when they get the visa so they aren't as immune from police investigation as they were before. It will also help ensure they do not get anymore social welfare than the State they reside in feels is allowable. Any immigrant with these visas that screws up is immediately deported (that is, after due process has run its course and they are judged guilty).
How about we provide some sort of provisional visa that allows immigrants into the country even if they don't have any papers. It would permit them to work, but they would also have law enforcement checking in on them regularly just to make sure everything's on the up-and-up - no warrant needed (they aren't citizens yet anyhow) but we'll have them sign a waiver anyhow. Full biometrics can be taken when they get the visa so they aren't as immune from police investigation as they were before. It will also help ensure they do not get anymore social welfare than the State they reside in feels is allowable. Any immigrant with these visas that screws up is immediately deported (that is, after due process has run its course and they are judged guilty).