N.M. Stat. § 40-6A-610
Effect of registration for modification.
A tribunal of this state may enforce a child support order of another state registered
for purposes of modification, in the same manner as if the order had been issued by a
tribunal of this state, but the registered support order may be modified only if the
requirements of Section 40-6A-611 or 40-6A-613 NMSA 1978 have been met.