Yes, I am also part Jewish and that would have put me in an even worst situation, had I lived in the Third Reich in the 30's I would have qualified for "neutralization".They are declaring asylum from violence in their country. Being half Italian, you should recognize the name called to many of them who snuck into the country "Without Papers" . it's a pejorative but one somewhat based in fact....but not only Italians.
To risk death by coming across thousands of miles of alternative jungle and desert terrain, possible starvation, dying from thirst or heat exhaustion, the possibility of molestation by criminals and perverts, kidnap of one's children by traffickers ? No - the question "what if they can't?" is nonsense. Add to that the cost of the coyote (who may be a trafficker as well and/or abandon the customer) and its not a worthy question.