N.M. Stat. § 1-15A-2
Voting in presidential primary; date of election.
A. In the year in which the president and vice president of the United States are to be
elected, the registered voters of this state shall be given an opportunity to express their
preference for the person to be the presidential candidate of their political party in either a
presidential primary election or in accordance with the selection procedure for presidential
candidates of each voter's party. The presidential primary election shall be held on the same
date as the primary election is held in this state.
B. A voter may vote in a presidential primary election on the ballot of only one of the parties
participating in the primary election in accordance with the provisions of Section 1-12-7 NMSA
1978.