As a side note, it's funny to see that parts of the media still mechanically repeat LaPierre calling the ATF "jack booted government thugs" in 1995 like it was a bad thing, after the full-on liberal awakening over police militarization via the Boston Marathon Bombing and Ferguson, MO. The NRA was 20 years ahead of the curve on that.
After '68 there was a huge split in the organization between hardline types who wanted to focus on politics and lobbying and traditionalists who wanted to focus on shooting sports. At one point the NRA was even going to move from the DC area to Colorado and essentially give up politics altogether. In 1977, the political types took over the organization and purged the organization of sportsmen types.
Interestingly, the new head of the NRA was a former chief of the US Border Patrol who had shot and killed someone when he was a teenager. https://en.wikipedia.org/wiki/Harlon_Carter
The organization grew exponentially in membership, budget and political influence. Interestingly, they went through a few cycles of purging people who were even more hardline than their leadership.
http://www.pbs.org/wgbh/pages/frontline/government-elections...
Politicians fear them, because they have money and get out the vote power. There is some thought that the NRA cost Al Gore his presidential run.
Its complex, because a lot of the US (The more rural parts mostly) have a much stronger gun culture. There is some distrust of government and any regulations.
Within 50 years quality 3-d printed guns will make a lot of regulations moot anyway.