"Independent" does not describe any sort of political philosophy/inclination other than, perhaps, an aversion to party politics. For the question in your OP it is not a very useful descriptor.Actually, if you are independent, you still have opinions. They just don't fall into place on a party line.
Also, haven't you been looking at Massachusetts? There were three times as many Democrats as Republicans, but Independents outnumbered them both, and Independents were responsible for the Republican victory.