There is a more effective remedy never mentioned. See (br)
https://www.americanthinker.com/articles/2016/07/for_every_wrong_a_remedybut_not_for_the_honest_worker_and_contractor.html
Local lawsuits against employers of illegals by damaged citizens would be extremely helpful; note that the author of the article stipulates practical availability of such remedy would depend on enforcement of E-Verify. With E-V in place the remedy could then be expected to produce dramatic results.