The problem as I see it is, unscrupulous politicians shriek that "undocumented aliens are flooding our borders! Vote for me and I'll fix it!" This message causes some members of this board to shriek the same things.
But what do those politicians actually do when in office? Nothing, because their corporate donors don't want to see their source of cheap labor cut off. Instead, they keep shrieking, or they propose heavy-handed "solutions" that are inhumane (Shoot to Kill!), impossible (Build a Giant Wall and Make Mexico Pay For It!) or won't survive judicial scrutiny (Invade Their Home Countries!)
That they don't work to implement solutions that are not Inhumane or Impossible or Illegal shows that for them, undocumented immigration is not a problem to be solved but an issue on which to fundraise. It's too bad the voters who support those politicians can't see that as well.