More seriously, suppose we had no BI or other welfare state - what is the harm of allowing an Indian to show up in NY with no money or job? The only cost I see is that he might annoy 30-100 potential employers before he finds someone to pay him $7.25/hour to wash dishes, making him richer than 95% of his countrymen. He might sleep on the street for a little while.
Now, there are real worries - he might eventually become a citizen and vote for Indian-style governance (see, e.g., the voting behavior of Mexican Americans), contribute to a corruption-tolerant culture, or other such things. But those are second order worries.