N.M. Stat. § 40-6A-603
Effect of registration for enforcement.
A. A support order or income-withholding order issued in another state or a foreign
support order is registered when the order is filed in the registering tribunal of this state.
B. A registered support order issued in another state or a foreign country is
enforceable in the same manner and is subject to the same procedures as an order
issued by a tribunal of this state.
C. Except as otherwise provided in Sections 40-6A-601 through 40-6A-616 NMSA
1978, a tribunal of this state shall recognize and enforce, but may not modify, a
registered support order if the issuing tribunal had jurisdiction.