Just generally, the reason why people left Britain in the 17th century was of excess labour/crushing poverty. The English Civil War increased mortality so that by the end of the 17th century, few were willing to leave (which led to a change in labour supply for the US of some significance). Migration increased, again, in the early 19th century due to some fairly harsh recessions in textiles employment...but people fled Italy, Ireland, and Germany in far larger numbers because the economic issues there were more severe: crushing poverty, massive overpopulation, no economic opportunity or way to sustain life.
Just quantitatively though, I suppose Mexico is probably close to the biggest actual migrant flow...although that largely reflects the fact that the population is bigger than it was in 1850.
To be born in Brazil in 1922, his parents must have moved at least a decade before Hilter had any sort of power. Nazis fled to Brazil because there was already a large German community there.
Ironically, given the context of the accusation, many of these migrants to South America were Jewish. But many were not, many were Christians looking to start millenarian communities, many were looking to flee the poverty or lack of land, a new life, whatever.
Remember too that Argentina in 1900 was richer than the US. South America seemed like the next big thing. Times change.