Bingo. There is a strong ally for privacy advocates in the NRA. This hasn't blown up in the media yet, but you can be sure it will next time discussions of gun registration/background checks comes up.
For both causes we're going to have to depend a lot on other methods of publicity. E.g. I'll bet you haven't heard that the Democratic administration running Missouri illegally gave the Social Security Administration the entire list of the state's concealed carry licensees.
My point is more that some privacy advocates and some gun advocates share their distrust of governmental data snooping. The NRA has long fought data collection/abuse about gun owners and is well used to doing do. It would behoove the privacy movement to learn from and work with the NRA on the issue as it pertains to guns, because that knowledge will be useful in the more general case.