The very definition of an Independent in politics is in part that they could not be categorized because they have no place in the political system. Even though I don't consider myself a supporter of Democrats or Republicans, I don't consider myself anywhere the Paulites, in terms of ideology. It's just that no major party correctly suits me; this is the case with a two-party system. If our system was arranged differently, and social liberals or conservatives who are at this point very partisan toward their respective parties, would be Independents. There are other countries where a party suits my ideology enough that I choose to identify with that party.

And FTR, I consider myself more of a supporter of the Green Party in the U.S., at least to some extent, than a full Independent, but Green's have virtually no chance of winning here 99.9% of the time, and aren't always even on the ballot.