Actually NM has a law on the books that states
"Any exotic venomous animals brought into the state must be venomoid AND checked by a state vet."
There are others also. Like the take of venomous reptiles is regulated by a small game liscence. This does not exist except as an out of state liscence. Or any exotic reptile must be ok'd by committee. This one is great as they simply ignore all other exotics until it becomes a problem. So if your neighbor complains, expect USGF at your door.
NM keeps these laws vague and kind of hidden. The ONLY exception seems to be the rattlesnake roundups and this is written in to NM law. See Below. This is from Lexus Nexus and the current NM F&G laws.
19.35.7.13 IMPORTATION OF NON-GAME WILDLIFE: Any applicant requesting an import permit for non-game wildlife must submit the following information with the application:
A. A containment or confinement plan indicating where and how the species will be maintained;
B. A certificate from an accredited veterinarian that each animal and/or rearing facility has been inspected and is in good general health, disease free and that each animal or rearing facility tests disease free for any specific disease listed on the application and following the testing procedures provided with the application;
C. Proof from the pertinent County and City where the animal will reside that possession or release of the animal is allowed;
D. Copies of USDA or United States Fish and Wildlife Service exhibitor or breeder permits if required;
E. Certification from an accredited veterinarian that any venomous reptile has been de-venomized.
19.35.10.8 TAKE:
A. It is unlawful for any person to take free-ranging, native amphibians and reptiles in New Mexico for commercial purposes without purchasing and having in possession a valid commercial collecting permit. In addition, nonresidents must purchase and also have in their possession a nonresident hunting license listed in Section 17-3-13 NMSA 1978 required by law for the year in which the taking is done.
B. It is unlawful to take all free-ranging, native amphibians and reptiles species that are Federal or State listed as threatened or endangered.
C. Exceptions:
(1) When there is an emergency situation involving an immediate threat to human life or private property, rattlesnakes may be captured, removed, or destroyed without a permit.
(2) No permit is necessary for take of free-ranging, native amphibians and reptiles for the purpose of rattlesnake roundups, fish bait, or lizard races. A commercial collecting permit is required when these species are taken for a commercial purpose.
(3) All other species of snake (other than rattlesnakes) collected and displayed for rattlesnake roundups shall not be bought, sold, or traded unless the person collecting such snakes is in possession of a commercial take permit.
(4) Amphibians and reptiles held in captivity prior to July 1, 2001 and their progeny are not subject to these regulations.
[19.35.10.8 NMAC - N, 10-31-01]
A. All species, except for those collected in rattlesnake roundups, for fish bait or for lizard races, of native, free-ranging amphibians and reptiles are hereby classified as protected nongame animals for commercial taking purposes. The commercial taking or capturing of native, free-ranging amphibians and reptiles is prohibited except by a permit issued by the state game commission.