That's a pretty broad brush you're toting there. Like political parties, the Klan has had a number of variants. http://en.wikipedia.org/wiki/Ku_Klux_Klan (you should check out some more links that have some system of peer review...)
Strom Thurmond used to be a Democrat as well and I'm pretty sure that his shift to the Republican side mirrored the political movement down there at the same time. But if you were to imply to him that the modern Democratic party was similar to his thoughts he would have brained you like Preston Brooks.