Very eye-opening. Thank you for posting.
Sozi came from [Sozi]alistische. "Socialist"
Nazi came from [Na]tionalso[zi]alistische. "National Socialist"
So if N does not stand for New in New World Order, and it does not stand for Nazi [Na][zi] but instead a subgroup, then that subgroup might be just the Na in Nazi.
If Na and zi is National Socialist, then just Na must be Nationalist (without the Socialist).
Result:
National World Order or Nationalist World Order