The govts wouldn’t. I would just put it out there officially that we won’t be doing illegal border asylum. Even if it just hit social media, and this the entire world was exposed to this fact, that would be a deterrent. We’ve never said “Do it the right way or it’s not happening.”
Nice thought but it won’t stop them. Too many employers in the US love them. Restaurants, catering, take out delivery all make their margin by hiring illegals. You want to stop them? Make it known to all, especially Mexico that facilitating the illegal entry and the presence on our borders of thousands of migrants, especially of those whose journey to our border Mexico assisted, that doing so will be construed as an act of war by Mexico against the United States.