On June 19, the Santa Fe County Democratic Party will sponsor a forum, on the subject of whether the Democratic Party should let independent voters vote in Democratic primaries. See this announcement.
New Mexico was one of the last states to hold partisan primaries. Before 1938, all parties in New Mexico nominated for all office by party meetings. Ever since 1938, New Mexico primaries have been closed to all but party members. In New Mexico, smaller qualified parties still nominate by convention.