> We were pretty "soft" (dislike the term) on the land borders and on immigration
That's absolutely not the impression US gives to the people outside. The visa system is soft only on one specific demographic it deems worthy (educated, wealthy, commonwealth citizen), and treats everyone else with contempt at best.
Getting a visa requires extensive background checks, and an in-person interview in a part of a consulate built like a prison. The green card lottery keeps people on uncertain ground for decades, during which they are second-class citizens and can have their entire life uprooted at any moment.
Claiming asylum via safe modes of transport has been made technically impossible (anyone suspected of seeking asylum won't be sold any tickets, won't be let through any security), and deadly dangerous and intentionally cruel towards everyone desperate enough to try anyway.
Unfortunately, many countries are like that, and the USA is not better than average even on the good side.