Going off media presentation of events doesn't provide an accurate assessment as there's been no effort what so ever by the media to report on this fairly. For example, NBC is one of the primary media outlets fighting against the name but never bothers to disclosure it's business relationship with one of the primary tribes complaining about the name as it does so. ESPN routinely runs 3 decade old film split screen with anyone talking about the name or invites a blogger to debate a professor on the issue. The primary news reporter in the DC area that pushes the name issue blocks and refuses to listen to any native american who disagrees with him that they should be offended by the name, calling them "uncle tomahawks". The reality is that the public has no honest presentation being provided of where native americans stand on this; one side's voice is repeatedly broadcast over national airwaves and others are not just ignored but openly mocked.
The further problem is that the poll you quote does not exist to the public from what I can find, outside of a press release which is NOT THE POLL. No information can be found in terms of it's methods, it's margin of error, or the criteria in which the person decided to claim they "authenticate" native americans. If his "authentication" is in line with what some activists have used as the means of criticising the professionally done annenburg poll, then it means they have to live on a reservation or be an official member of a tribe; IE not what is legally required in ANY fashion to be identified as native american. This type of prejudicial polling is akin to trying to do a poll of black people and claiming it's only caring about "authentic" black people so would only take answers from individuals with a zip code that falls within the inner city. Or a poll claiming it's only focusing on "Authentic" Irish-Americans by those who currently, or are one generation removed, from living in New England.
There is no evidence what so ever that the Annenberg poll is flawed or that there is a significant amount of people who are not legally identified as native americans who participated in the pool beyond the margin of error. Simply waving a wand and claiming it is so doesn't make it so. Simply because some activists have disdain and wish to make non-reservation native americans into second class citizens who are stripped of their heritage doesn't make it so.
As to your comment about the National Congress of American Indians, not they don't represent "They" as in native americans as a whole. They make up only 1/3rd of the tribes in the United States. Your list that you put up that included tribes were also all tribes that are PART of the NCAI, making for a nice visual for propoganda purposes but in reality is just redundant. Indeed, your list you posted doesn't include any tribes out of the other 2/3rds of them not represented by the NCAI.
Additionally, as it relates to the NCAI, understand that it's a group and representative body. Attempting to proclaim the views of the Congress as inherently representative of every native american within that third of native american tribes is about as legitimate as attempting to proclaim that the resolutions passed by the United States Congress is inherently representative of every american within their constituency.
I understand none of that will change your views, but since you’re seemingly operating off faulty information to form your views I figured I’d at least help get you back on point.