I think this is a southern thing. I have never seen any organized protest or group. Regardless, if the south wants to get out of the union, more power to them. I would be VERY happy in an America without the southern states.
The only group of people that I know of who could be called secessionists would be the occasional super nationalistic Texan who somehow believes that Texas can leave the Union any time it wanted to. Beyond that I know of no state that has even considered such a thing.