Wrong.
The US is one of the least equal places on earth, and people come here because it is the only safe place from the violence, invasion, bribes, extortion, etc., the US tried to impose on most other countries in the world.
The immigrants are coming here because they want to "follow the money" that is stolen from their countries.
The US is just like Ancient Rome, plundering the whole of Europe and the Mediterranean, and everyone wanted to emigrate to ancient Rome back then as well, for the same reasons. It was not because ancient Rome had any equality.