Only if that history has something to do with the case in hand. If KKK lynched a white man, for no racist reasons, why do you think that we should be discussing their racist history instead of the facts of this specific case? Don't you think that it is absurd to claim that the only motivation for KKK doing absolutely anything is racism?
Now, if KKK lynched a white man for marrying a black woman... well that would be a different story.
So, what is your "black woman" for the case that is on discussion here?