Let me reframe a bit on this one.
You are correct that it's not a distinctly organized group, but very loosely organized with people continually carrying the baton forward in the relay race to remove our rights. Each runner is going to be slower or faster than the previous one, but they're still running in the same direction.
A cornerstone of NCLB was to expand the funding for Charter Schools across the United States (rather than fund public education). And while these schools are supposed to be non-religious, a small provision of NCLB allowed parents to choose private, religious options if their schools fell behind (which, given the draconian testing expectations, made it pretty easy).
So maybe the NCLB Act took the long way around to get where we're at today, but it was still always headed in this direction as soon as it offered private schools as a funded alternative to public school, rather than investing in our public schools with our public funds.
On the larger issue of what you're saying, it can be difficult to distill the information down in a way that makes sense when all of it is a very complex web of people and power and ideaologies.
At the end of the day, it took 50 years, but they did succeed in getting rid of Roe vs. Wade eventually. The relentless pursuit of this effort which took 50 years of adaptation and pushing as hard as possible in every area without relenting, even when they hadn't succeeded in every direction, is what made this happen.
I expect no less from these further pushes now that we're over that hump. Maybe these efforts fail today, but they will continue to push where they can until they figure out ways in which they can succeed.
It's quite relentless and those of us whom are on the other side of this definitely need to recognize the threat for what it is. Which, to your statement, makes this so much more dangerous than if it were just a single headed hydra.