Raising a private army needs a lot of money, and the largest private army (the one that gets to dictate terms) will be the most expensive. That money comes from the profit from voluntary transactions; if the people participating in these transactions did not want there to be a giant private army they would not trade with the giant-private-army-haver. Thus by virtue of the fact that someone has a giant private army, we can conclude that the majority of people consent to this state of affairs. So there's no violation of the NAP, you got into this situation via a series of voluntary transactions.
Raising a private army needs a lot of money, and the largest private army (the one that gets to dictate terms) will be the most expensive. That money comes from the profit from voluntary transactions; if the people participating in these transactions did not want there to be a giant private army they would not trade with the giant-private-army-haver. Thus by virtue of the fact that someone has a giant private army, we can conclude that the majority of people consent to this state of affairs. So there's no violation of the NAP, you got into this situation via a series of voluntary transactions.
(lol.)