This is almost identical to an argument I put out over a decade ago.    I pointed out to my Democratic friends that  lax enforcement hurt labor and benefited ownership,   Illegal immigration increased the profitability of ownership and has a negative effect of wage pressure that just increases the disparity between ownership and wage earners.  That used to be a Democratic pillar in the private sector before public employee's became the focus.

If either party is serious about regulating foreign workers, then you punish employers who hire those with no documentation.  A wall doesn't touch the  50% of workers who enter the country legally and overstay visa's.

I'm a liberal who fully supports well regulated immigration.      If we could find a way to silence the blind mice ideologues that frequent modern media, we'd have a good chance of involving all current and future Americans in finding rational solutions.