Yes, and every scene of Mexico in a TV show is sepia toned. It's very funny to me.
Mexico's problems are basically: - Drug cartels - Poverty/Bad economic prospects if you're born there - Government corruption
But Mexico is a very complicated place that is very different depending on what part of the country you're in (kind of like the US in that way.) There are places where the cartels are barely active and the police have a huge presence. There are "wealthy" areas of Mexico that wouldn't look out of place in the U.S. There are places in Mexico you definitely should not live or raise your kids. But you could say the same thing about many places in the U.S.
Having money allows you to live in safer areas with better public services, just like in the U.S. It just takes a lot less money.
I don't have kids, but I have expat friends here who do and I have met their kids. Some of them speak 3-4 languages. There are quite a few international schools that are "private" but again - a private school tuition in Mexico is nothing like a private school in the U.S. and they're very good schools.
How does being an expat and having money help insulate from Mexico's problems? What are prospects like for your kids?