No, because of this:
NM Constitution, Art XXI, Section 1. [Religious toleration; polygamy.]
Perfect toleration of religious sentiment shall be secured, and no inhabitant of this state shall ever be molested in person or property on account of his or her mode of religious worship. Polygamous or plural marriages and polygamous cohabitation are forever prohibited.
Thank you for the constitutional clarity, even though it had nothing to do with the point I was making.