New Mexico does this every election cycle in an attempt to exaggerate its own importance to the point that its politican gods might deign to stop over every now and then rather than just fly over.
Clinton was here a lot, largely because the adoring Chicanas presented an opportunity.
There are so few people, so few electoral votes and so little interest in getting rid of the patron system that has prevailed for 400 years that these stories about New Mexico suddenly turning into a swing state every time there is a national election is ludicrous. It is a blue state in a sea of red.
There are people here still arguing over the terms of the Treaty of Guadalupe / Hidalgo; there are regularly counties with more voter turnout than residents; and it regularly takes the major counties weeks and months to tally the votes because the dead or illegal voters are old, slow, stupid or need a ride. There was an argument at the time Congress was debating whether or not to admit New Mexico to the Union. There was a large faction convinced that New Mexico lacked the innate ability most other states exhibited to govern itself.
There was a lot of truth in that argument then and now.
It wouldn't surprise me if there are precinct judges that are dead or illegal.
“there are regularly counties with more voter turnout than residents”
One heavily hispanic precinct here in Grant County had 100% voter turn out last election. A very civic duty minded people in that precinct.