A little note on terminology:

Andy G said:
"Canada is in continental america, The USA is in continental america, Mexico is in continental america, Panama, Honduras, Belize, Venezuala, Columbia, Argentina Brazil, Chile, Uruguay, Paraguay, Bolivia, Ecuador, El Salvador, Peru, Nicaragua, Guyana, Guatemala, French Guiana, and probably more... are in continental america. All the people who live in these countries are Americans."
which is true, but not helpful in a practical sense.

For all countries on the American continents other than the U.S., there is a clearly recognized term to describe their people, e.g. Mexicans, Panamanians, Hondurans, etc. One can further talk about North Americans, Central Americans, South Americans, and Latin Americans. But from centuries of usage, and with the lack of any other clear and unwieldy term to describe them, "Americans" is understood rather universally to mean people in the U.S.

I'm afraid I don't see much point in trying to make an issue out of what "American" could technically mean. It only raises confusion, and the common usage is quite unlikely to change.