Mexico is close to being a narco-state, and the government does not have a stellar reputation for honesty. What we know is mostly anecdotal, but it seems that the bribe is an important ingredient in the process of getting things done.
So here's the question: What exactly is it about the Mexican government that you like so much that you want it in the U.S.?
Are they looking for income equality? They won't find that in Mexico.
Gun control? Mexico has the laws but not the control.
Good schools? They could be onto something with the schools. Somewhere they are getting a sense of national pride in Mexico. Our schools certainly aren't doing that in regard to our own nation.
But ultimately, open borders and relaxed crossings are probably the objective of the movement, not a change in government. After all, if they want a leftest government, California already has it.