When Bobby Jindal (who is of Native American origins) ran for Louisiana Governor as a Republican, he substantially over polled. There was an interesting study done afterwards that compared where he underperformed relative to what you would expect a GOP candidate to get, and it correlated - to an almost scary degree - to where David Duke got support in his assorted runs for various offices.
A lot of rednecks told the pollsters they were voting for Jindal, but then either stayed home or voted for the "white women" over the "indian" when they got to the ballot box.
i thought Jindal was from India, not a native American -at least that was my impression.