1. A gun safe doesn't need to be able to stop some safe cracking expert from getting to your guns. It only needs to prevent the average man, woman, or child from stumbling across them and either stealing them or having an accident. There's fundamentally no safe in the world that can be mounted in your home that a team of strapping men couldn't unmount and then carry off if they really wanted to.
2. The NRA and the CDC scandal is just one tiny facet of this whole debate. Even if the CDC came up with some sort of research indicating that guns were a plague to society, you still have the 2nd amendment to contend with. You can't pass a constitutional amendment without the support of two thirds of both houses and three quarters of all the states.
Good luck with that.
3. Even if a constitutional amendment to ban guns passes, you're just giving private gun owners the green light to start a new revolution using the 300 million guns they possess. If anything, the NRA is trying to keep the CDC from making a terrible mistake.