So I've written here about this phenomenon, specifically concerning a group known as the P.P.P. (Progrès, Protestation, Punition) which briefly existed within the Francophonic community of New England. They were a vigilante group that specifically was formed in opposition to the Klan, and modeled itself on the Klan in some ways. The Knights of the Invisible Tiger's Eye (a play on the KKK moniker "Knights of the Invisible Empire") were a similar group, but in this case based in the Buffalo, NY area.

The Klan had arrived there in 1921 and had enjoyed success in recruitment on both sides of the Niagara, which in turn meant organizing of opposition to the Klan was well. Unfortunately, as far as the "The Knights of the Invisible Tiger's Eye" goes... there isn't all that much to go on. We know they were formed in the fall of 1922, and that they were very consciously intended to mock the KKK and oppose it, with the lone statement attributed noting "The Royal Bengal of the Buffalo Den of the Knights of the Tiger's Eye has been duly installed with his officers, and another link added to the chain that will soon drag the Klan from its hidden realm".

As with the PPP though, after that brief mention of their founding, with a few fleeting mentions that they were forming and recruiting to fight the KKK, there really isn't much more left to be said. The "exclusive" announcement in the Buffalo Courier claimed the group to be national in scope, but there is nothing to indicate they were doing anything more than exaggerating their reach. They might have folded very quickly, or perhaps they were much better at being a secret society than the Klan was, and whatever activities they were party too are subsumed within the picture of broader public opposition to the Klan in the region.

Lay, Shawn. Hooded Knights on the Niagara: The Ku Klux Klan in Buffalo. NYU Press, 1995.

"Knights of the Tiger's Eye Form Buffalo Den and Open Fight Against KKK" Buffalo Courier. Sunday, September 17, 1922. 79