However, let's remember as conservatives that not only the Second Amendment but also the First Amendment are in the Bill of Rights for a reason. Free Republic would be an early target of the current administration, as well as of the Clinton Administration years ago, if we didn't have the guarantees of the First Amendment.
The primary remedy for irresponsible actions like what was done by the New York newspaper is to use our free speech rights to argue against them and convince the public that they're wrong. Other steps such as economic boycotts can work as well — that newspaper has at least two local competitors which are getting lots of new readers offended by the gun owner map. Personally, I hope one or both of them decide this is a marketing opportunity, get some major pro-Second Amendment advertisers, and use the internet to start running an effective daily news alternative to their gun-bashing competitor. It would be wonderful if in two or three years the major local newspaper ends up no longer being the current Gannett paper but rather one of the two locally-owned papers, following a successful appeal to community residents angry about the abuse of a Gannett-owned paper which isn't answerable to local readers.
Finally, this is probably the first case I've seen in at least two decades where I would support amending state law to end public access to government records that are now open. Increasing government secrecy is almost never the right answer to anything — we are, after all, the bosses of the government, not the other way around — but in this case, nobody has yet been able to explain to me any valid public purpose for printing that list of gun owners.
Printing that list was a major mistake, it couldn't have happened in my state of Missouri because no comparable gun owner list exists and the concealed carry permit list is specifically closed to the public, and the newspaper is getting the public attacks that it deserves.
Using the First Amendment is the solution to this problem, not destroying a printing press as was done in Nauvoo.