Are many Mexicans likely to be prejudiced against a relationship between an American guy and a Mexican girl?

Obviously every Mexican, just like every American, has his or her own opinion in regards to intercultural marriages, but I am simply wondering how common it would be for a Mexican + American couple to encounter racism from the Mexican community in the United States or from Mexicans in Mexico for being in a relationship together. Are there many Mexicans who would view such a relationship as somehow "stealing" from "their" women or their "raza", or that somehow the woman is betraying "her people" for being in a relationship with one of those "gringos"? Please don't get me wrong--my experiences with Mexicans on both sides of the border have been overwhelmingly positive and I rarely sense racism. However, I have never been in a real relationship with a Mexican and know that would maybe change some things, and I even wonder if the reaction varies with the region of Mexico or the US. Maybe So. Cal, for example, would have more that "la raza" or "Aztlan" latino nationalism to contend with...