I think not. I think you may have something against the Cherokee because they fought against your fellow Frenchmen. Not to say that some Indians didn't take French names.
While you have no way of checking the veracity of any claim I might make to my own ancestry--I wouldn't have any way of checking yours. We only have the words on a screen.
Characterizing the Cherokees during Jackson's time, and during the Civil War, as having some sort of Napoleonic brilliance of military strategy is your variation on the sentimentalized "noble Red Man"-- and is actually far more condescending than characterizing them as savage.