Instead, we take their mug shots, fingerprints, and DNA samples and expel them to their native countries. No US visa or Green Card allowed in the future for those caught and expelled, ever. No asylum, ever. If, however, they turn themselves in first, it is possible they can get a temporary visa after 5 years. No welfare of any kind, ever.
They have 90 days to turn themselves in for processing and expulsion. If they show up again, they do prison time (increasing with subsequent offenses) and expelled again. DACA "kids" are free to leave with their parents (same rules). Same for anchor babies. Eliminate anchor baby scam, visa lottery scam, and other immigration scams.
You do it for the new ones. Once the word gets out the invasion will stop.