And they do intersect, rather significantly. I've personally known many Mexican immigrants who fit that description, and I'm sure at least some were illegals -- I never asked.
It's difficult for me to place nice, hard-working folks who're looking for a better life -- into the same classification as drug dealers and gang-bangers. Call me names if you'd like, but they're not the same sort of "criminal."
Hardworking they may be, but you must have an eyebrow raised when you see them marching down the street with Mexican flags in American cities or calling for socialist-style 1-day all-Latino strikes, not to mention that recent inciteful billboard that said "Los Angeles, Mexico."