It's not just the minimum wage laws, it's the immigration laws.
America seems to want a workforce they can bring from Mexico to America, have them do some odious task, and then send them back home with a tiny bit of money.
Simply put, this fails in many ways.
1) It drives down American earning potential by putting some of America's 'jobs' at Mexico's pay level.
2) Many many many of these guest workers will dodge being sent back home. Having a kid here is the best thing they can do for their kid, certainly better than having them back in Mexico.
With all that being said, we have to eliminate the employers of illegals, the foremen, the construction companies, the hotel companies, the farm workers. Change their options, from bringing in Mexicans to pay shit to, to lobbying for a proper number of immigrants yearly.
One of the issues at hand here is that people are upset illegals come and work here for very little money, thus driving down the pay of all American citizen construction workers, etc. Because if we're willing to pay what the "market" will bear, we have to actually announce that we're paying what the "Global market" will bear, the "American market" not the "United States market" So unless Americans are willing to get paid what a Honduran is willing to get paid, they're going to lose the jobs.