I provide for that by allowing illegal workers to remain in this country as long as they register. Their families can remain also, as long as one person has a full-time job. We need to audit their employers, since where I live illegal workers are abused by employers.

I would require that employers pay a "surcharge" tax (10% of wages) to the government to cover the cost of educating the children of illegal workers and providing uncompensated health care. And the "minimum wage" for an illegal worker should be the comparable wage being paid to citizens doing that job... something the government has the resources to set.

Registering also ensures the employer is paying his payroll taxes along with the illegal workers. Bottom line, illegal workers should cost employers more than citizens to employ to encourage employers to hire qualified citizens first, but available to employers if as you say there is a "worker shortage".

The other reason for registering is to try to isolate those illegal workers that are part of the cartel but remain hidden. Where I live the cartels have invested the Hispanic neighborhoods, but requiring everyone be here legally, the government can do the necessary background checks to try to screen out those people. I think people would cooperate in targeting the gangs and criminals, if law abiding illegals and their families were protected under a guest worker program.

Where I live there the police have caught to "gangs" of illegal workers responsible for a rash of break ins. Illegal immigration is a serious problem, which is why no country supports it and neither should ours.

https://www.mercurynews.com/2022/03/08/40-mile-chase-ends-with-arrest-of-suspected-burglars-from-chilean-gang/#:~:text=Law%20enforcement%20agencies%20in%20affluent%20California%20communities%20say,worth%20of%20jewelry%20and%20other%20items%20was%20stolen.

But we need to secure the border. Again, not sure where you live, but we know many illegal immigrants who are good people but live in fear because their communities are being taken over by gangs that use distribute drugs, participate in human trafficking, intimidate the people living there, and commit crimes. We can't have people flying under the radar. My guest worker program addresses your issues, but as one illegal immigrant told me, "gang" work is pretty appealing to many young Hispanic men compared to working in a low wage job. If you don't do something, we will become (and in some neighborhoods, we have become), the places they were fleeing when they came here.