I've been training in KM for about 4 months now. Thus far, I have really learned a lot about how to react in a fight and how to trust certain reactions.
The first thing that the instructor drilled into us was to escape if possible. It doesn't matter what someone calls you or says they can do to you. If you can get away, you should. The thing that most impressed me was the utter simplicity of the system. There are no flashy punches, strikes or kicks. Grappling isn't as intricate as BJJ. The techniques are realistic and many don't apply to sport fighting (tournaments and what not) as they are considered cheating. The fighting is dirty and very hard and would get you disqualified from a tournament. They may save your life on the street.
You learn how to attack a person (not just defend against) in order to stop a threat (a phrase my instructor used that piqued my interest as I heard my CCW instructor say the same thing)
Punches, kicks, grappling is kept simple and realistic. For example, You are taught how to put someone into an arm bar, but instead of holding till submission, you injure them and escape the situation. One of my favorite strikes is the roundhouse to the knee. In this simple kick, you swing your leg in a short arc at no more than the opponents knee height. Your leg stays bent and you contact the outside of the opponents knee with the ball of your foot. This straightens the knee and locks it. Now, the real damage comes. Your leg is still bent with the ball of your foot on the bad guys knee. You simply thrust your leg out in a forward kick. This will really hurt as you have just "kicked through" someones knee
I really enjoy the training and am a firm believer in the hurt factor. If you don't get hurt a little in the training, you are in the wrong course.
http://www.contactcombatsystems.com <---place I train at.
Just an FYI, this is NOT something you can really compete in as the moves and techniques are designed to hurt someone. I'm sure there are KM tournaments, but I have no interest in those. It ain't flashy, it won't be on the cover of Black Belt and you won't get any trophies. You will learn how to kick someones rear should the need ever arise. It's up to you to avoid creating the need.