The people I knew were all migrants, legal or illegal, rather than refugees.
So people always had a car, it was the first thing they bought. The first one was always a beater sedan, and the second one was almost always a pickup truck. When they got real money saved up, they get something new. Red was far away the most popular color.
Most were single, but there were a few married ones. The bulk kept their children back in Mexico where the family was. Only the permanent residents, the legals, had their children with them.
The refugees I know now, and we employ quite a few people from the International Rescue Committee, always have families. That isn’t a big issue for the middle class refugees, they get over the hump pretty quickly. The social capital they had at home tends to transfer, and they find a way to do something lucrative. The peasants, they end up working low paying jobs and living in little ethnic communities in town. Those individuals tend to tread water and invest what they can in their children. They’ll never do great, but their children might be able to better themselves. That’s the hope at least.
Your question though, why can’t these Americans just pickup stakes and move? Turn it around for a moment, why do only some people leave places like Burma to become refugees in the west? Why don’t all Cubans leave for America, and a sure thing? People have elderly parents to take care of, they have ties to the land, they don’t want to leave their culture behind. They might have children in school, they might have a home that they own, or other physical investments. Leaving that behind, it isn’t easy.
If I had to choose I’d much rather be a twenty year old Mexican immigrant (with enough documentation to get me across the border) than to be a 45 year old white male, with a family, in an economically depressed community.
The Mexican community would just be way healthier for one. Two, you’d have a much better future. You aren’t earning a ton, for an American, but your cost of living is super low and you can buy an amazing ranch back home with your savings.