One thing arises: I don't think a Mexican Chavez will welcome ccontinued illegal immigration to the US. For one thing, he would have regarded these "undocumented migrants" as "bringing in American consumerist values when they make trips back to Mexico visiting families and corrupting the outlooks of Mexicans". He would rather want the Mexico to "live poorly, but with dignity" whatever dignity means.
Heck, I think he will probably want to harrass each and every single American visitors to Mexico so that no American will visit Mexico in the future.
The cultural purges of "consumerist values" and "corrupting the Mexican Revolution" come later.