We've faced this choice on immigration before. In the early 1950s, federal agents were making a million arrests a year along the Mexican border. In response, Congress ramped up enforcement, but it also dramatically increased the number of visas available through the Bracero guest worker program. As a result, apprehensions at the border dropped 95 percent. By changing the law, we transformed an illegal inflow of workers into a legal flow.
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A 3rd grader is able to do the math and come up with the solution that the Bracero approach is the ONLY solution remaining, other than all out MERGING MEXICO INTO THE UNITED STATES (which is an eventuality anyway).

There are not even ten good men in the congress and senate combined willing to admit it.