Depends on what kind of Latin American.
Cuban-Americans are FAR different politically than your average Mexican immigrant, for example.
It boils down to loyalty and WHY an immigrant decides to come here. If you come here to BECOME American, fine.
If you come here to simply live in segregated Spanish-speaking communities, trashing and refusing to accept our culture all the while cheering on La Raza and taking OUR money, laughing all the way to the bank in Mexico, then yes, I have a problem with that.
This, btw, is what I have observed from living amongst Colombians in Miami, Mexicans in Chicago, and every Latino nationality imaginable here in New York.