And not to make this even longer, but the people with the means to move to another state much less another country are the wealthy. The poor, who are the ones who might benefit most from moving, are unable to, trapped in the cycle here.

I will say you are mostly right, but also note that all the refugees that have been going everywhere (including into Brazil! We get lots of Haitian and Colombian refugees mostly) since before I was born were exceptionally poor people.