My mother actually escaped East Germany in her teens.
I have plenty of criticism of what's wrong with the US. For example:
https://news.ycombinator.com/item?id=19888281
But I don't actually agree with your assertion, nor with other comments suggesting that the US is currently about as bad as East Germany was.
After she escaped, my mother helped multiple relatives get out. Family stories indicate that part of the process was sending enough cash to help them cover bribes to get their papers. My dad was an American soldier. The exchange rate was 4 West German marks to the dollar and 4 East German marks to the West German marks, or 16 East Marks to the dollar. My father's relative wealth and pragmatic attitude facilitated a lot of this.
You didn't have any means to wire it or whatever. You sent cash. Sometimes it got to the intended recipient. Sometimes it didn't.
It took tremendous faith, willingness to trust and callouses to keep sending help in the face of that and not just accuse desperate people of lying, etc.
My dad was a remarkable man.