This article in the New Mexico Political Journal gives the history behind New Mexico’s law regarding straight-ticket devices on general election ballots. The legislature in 2001 repealed the authorization for a straight-ticket device. But, even afterwards, New Mexico’s former Secretary of State kept the device. Finally, in 2011, a new Secretary of State said she would not keep it, unless the legislature reauthorized it. As the article explains, there were then many attempts by legislators to restore authorization for the device, but they never passed.
The Secretary of State elected in 2014 is now threatening to again restore the device, despite the lack of any authorization in the law. Thanks to Rick Lass for the link.