Well, it is a thread about freedom. Have you ever wondered whether or not free will exists? Don't take my word for what view you should take -- I've identified my own view as a belief because I don't know enough about the world to be able to take a logical stance one way or the other. However, I've identified some logical consequences of both views, and neither bodes well for the NAP.
Doesn't bode well for any system of crime and punishment, whether anarchy with NAP, or democracy with a police force. So, either a government with a police force, and people practicing NAP privately don't exist, or there is something wrong with your premise.
When reality contradicts your premise, it's pretty clear that there's something wrong with the premise. 'Cause, you know, arrows do hit their targets, faster runners do overtake slower ones, and people do make decisions in response to others' actions.