xiden will also probably claim that they are not illegals but instead unadjudicated asylum seekers all tidy and legal. I really don’t know if they just show up at a border crossing station and state their desire for asylum and are released or if they all or most wade in then turn themselves in.
But per the U.N. agreements on asylum, they must seek asylum in the nearest contiguous nation. So if they are mexicans or Canadians they can make that claim. From elsewhere, not so much.