@Walter Hinteler,
Obviously you didn't read the linked article. They call themselves
American Indians.
I'm happy to call them whatever they prefer to be called. As blacks in America have made it clear that they find "colored" and "negro" offensive or inappropriate, I don't refer to them, using either word. Also, since they seem to prefer "African-American" to "Afro-American" (although I really don't understand why) I'm happy to use the former rather than the latter. Nothing about the usage of these terms involves political correctness.
This is a thread about political correctness not about what I call American Indians. Unless you dispute that there is an insistence within certain circles on use of "Native American" the matter is germane in that it illustrates how silly and even offensive political correctness can be. If American Indians preferred to be called "The People", it would be just as silly and possibly offensive to insist on they're being called "Native Americans." and I doubt too many people would disagree with that.
The politically correct thinking about "Indian" is that it is not what these people call themselves or want to be called, but a name imposed upon them by an oppressive white culture (and one born of geographical error to boot!). The insistence on using "Native American" rests more with non-Indians than with Indians.
Whatever American Indians think about the oppression of their people by an American government and/or a
white culture, it's pretty clear that it's not a majority opinion that the term "Indian" is an offensive reminder of that oppression and that at least a plurality actually prefers the term! The folks who insist on using the alternative "Native American" are not making a stylistic choice, they are making a political statement, based on a determination of what is offensive that is not even shared by the people who, if anyone, would be expected to take offense.
I doubt too many people question the credentials of Russell Means as an American Indian who had strong feelings about past and current oppression of his people, and he was quite clear on what he thought about "Native American." I would have enjoyed seeing a politically correct blogger tell Russell Means that he should only use "Native American" to self-describe, lest he demean himself or his people.
It's the same people who long for offenses to attack and the opportunity to display their enlightened sensibilities who are waging war on the
Redskins, and who insist on the use of "Native American". In both cases they are motivated less about the sensibilities of American Indians than their self and public images.