You're confusing several different things here. "Hispanic" and "Latino" are ethnic, not racial, terms. Hispanics can be of any race, as long as they identify with Spanish-derived culture. Latinos are usually considered New World Hispanics. In both cases they are cultural identifications, not racial ones. There are black Latinos, white Latinos, "Amerind" Latinos, even Asian Latinos.
As long as we are being politically correct with our racial classification schemes, "Eskimo" is considered an improper and denigrating term. Inuit and Yupik are the more correct terms for the two subgroups. They are not Amerinds.
If you insist on Caucasian and Amerind, do you also insist on Negro, Mongoloid, etc?
Yes, many American blacks have white blood, and probably more whites than are aware of it have black blood. But...does it matter? Race is more a matter of self-identification than anything. It's not as though there was some point in time when "pure" races existed, that have since intermingled in some people's lineages and not in others; everyone's a mutt.
*edit* Kolossus beat me to that last point.