The provisions of this act N.M. Stat. Ann. § 64-4-1 to 64-4-15 shall not apply to the following:

A. Public aircraft. Any aircraft owned by the state or any political subdivision thereof, or any aircraft of the United States government.

B. Nonresident aircraft. Any aircraft having a habitual situs or permanent base in another state, provided the registration requirements of such state, if any, have been complied with, with respect to such aircraft.