Some states are firearm sanctuary states…in other words counties can refuse to prosecute certain gun laws. New Mexico is one of them. However the NM State Constitution is very strong, pro-gun:
“No law shall abridge the right of the citizen to keep and bear arms for security and defense, for lawful hunting and recreational use and for other lawful purposes, but nothing herein shall be held to permit the carrying of concealed weapons. No municipality or county shall regulate, in any way, an incident of the right to keep and bear arms. (As amended November 2, 1971 and November 2, 1986.)”
Once the Senate votes on the Bill, and the President signs the Reconciliation Bill, suppressors will no longer require registration. However the Gun Control Act of 1968 defines a silencer as a firearm, which would require a BCI and FFL transfer like any other required part, firearms etc. I believe I read somewhere that some org is trying to have that firearm definition lined out for just silencers.