I'm not sure how you can say you take the non-aggression principle as axiomatic while also asking:
> How do you handle the fact that "the right to swing your fist as you please" and "the right to not get punched in the nose" are both legitimate freedoms?
The answer is simple: individuals do not have the sanctioned freedom to strike others due to the NAP. This feels so plainly obvious to me that i'm worried i'm misunderstanding your position.