Canada and Mexico are part of North America,too. American is a term for those who live in any of the Americas. Those from the U.S. who call themselves Americans are, indeed, ethno-centric to the exclusion of all others. It's this arrogance that sets them apart.

In B.C., the U.S. is referred to as the States ie: they are from the States. Yes, it is necessary to call them Americans at times because they have no other names for themselves. Here's calling on all Americans to find a new name for yourselves and quit assuming that you are the only people that matter in the Americas. Somehow the "Uniters" doesn't quite fit. How about 'Staters'
or 'Statelings'? Its your name, you decide, but hands off a handle that we should all share. (Oh, I forgot, the U.S. doesn't understand sharing).