What the lower classes are concerned about is the value of their labor relative to others’, while the upper classes are concerned with getting a good deal by avoiding increases to the labor-cost floor. Bribes/subsidies and offered scams, have worked so far.
If the federal government, as an institution, were genuinely concerned about illegal immigration, it would have a different set of tactics. Start by punishing the sources of capital (fewer people), then property owners (more people), and only afterward the laborers themselves (many people).
What I see is a combination of class warfare and political theater, not a sincere effort to enforce the law. The law is incidental, made obvious by the exceptions the administration has had to carve out for certain industries.