Sorry, brother, but you’re wrong. No offense.
Most Mexicans as we know are primarily of Indian heritage. There are a small minority of what you would call white Spanish, who make up the wealthy upper class of Mexican society. These are the decendants of the Spanish who conquered Mexico and others who subsequently came from Spain to settle. These individuals have no reason to come to the U.S. illegally; they have everything they could possibly want in Mexico. I used to date one when I was in college. The situation is similiar throughout most central and South American nations.
In Spain, unless you are in the very south, you will find the majority of natives indistinguishable from the French or Italians.
They look like Mexicans ~ indistinguishable from them in fact. The neighbors who've taken visits to Mexico come back saying "Wow Man, they look like us" in Mexican accents, and then they giggle and laugh. I think they get that line from an old Cheech and Chong movie or something.
I want to see some DNA and some teeth. If these guys don't have a good number with 5 roots on their molars they're not Indians!
King Philippe I/II put down the Moresco rebellion quite brutally ~ but he was a kindly man so he simply EXILED almost all of them ~ mostly on the first ship outta’ town. All Spanish ships at that time were going to and from Mexico.