How to explain the KKK without being parcial?

I’m trying to understand how the kkk works, especially since i saw a video on yt where some guys pranked the most racist city in the US, but apart of their weird fear, what i actually saw was a libertarian group of people just trying to live on their own property with their own rules. Obviously, some of them are in the KKK. After searching on Google (what is a bad source and Jewish), it was said that they are extreme ultra super mega far right and that they kill black people, jews and catholics. But there is a point here:

1: They kill people that are invading they estate, what is self defense and that makes them ancap 2: They kill people around the whole country for pure prejudice, what is homicide and that makes them left

In my whole life i thought they were left (besides the government telling me incessantly that they are right). The problem starts now:

1: If they are left, why would they kill the people who created and funded the left (jews) and why would they kill the people that the jews send to countries to impoverish and screw up it? 2: If they are not the problem opens up to two branches:

2.1: Ancap option: They kill those people because they are invading their estate. 2.2: If not, They are NOT ancap.

Summaring: Either they kill only people who invade their property (what does not make them bad) or they are NOT right wing.

For both problems there are only a possible solution, free market. So the KKK could ensure their estate rights on one side and the black people could pay for best security on another side, and both of them could live the life they wanted, having relationships with who they want freely, without any governmental forced integration.

Yes, i can tell its government fault, without even knowing what KKK actually does, only figuring possibilities. Anyways, now, what do they actually do? How do they work?

Did you reach this far? dont be mean, upvote