From TFA: "Barr answered 'no' when asked if she had ever been a member of an organization 'dedicated to the use of violence' to overthrow the U.S. government or to prevent others from exercising their constitutional rights."
They didn't ask her if she "belonged to a group that may have been in some way affiliated with another group, some of whose members may have advocated the violent overthrow of the US." If you ask it that way, anyway that has ever joined the NRA might want to consider how they should answer.
It's also pretty weird that a country that includes a right to bear arms to forbid membership of groups that might advocate using that right. The right to bear arms isn't about hunting or even fighting off foreign invaders, it's about overthrowing tyrannical governments. If the founding fathers thought elections were all that were ever needed to defend against tyranny, then the 2nd amendment would make no sense.