According to The New York Times, Class Matters, does the immigrant class have any hope for achieving the American Dream?

The immigrant class, especially those who are undocumented from Mexico and South America, have the least chance of achieving the American dream. They live in the shadows, fearing exposure will result in deportation. They flounder around from one menial job to another, don’t learn English and have carved out their own world within a world with their fellow countrymen. They have the least chance to enjoy the classic story of the immigrant who achieves his dreams and climbs up from the ladder’s lowest rung.