A couple of thoughts:
Centralized or Decentralized or Mixed
How are we sure that they are operating in a centralized manner? Yes. it is feasible to assume that it is so. Top down. Compartmentalised. It it not one indication that the net of the spider is so hard to destroy because there are so many? While their idea/ideology/motivation may have a centralized root, are their operations? Why, if they were centralized, can we not attack the death star and destroy it? Their deception has infested every molecule of life on earth - like oxygen present in the air for life, so is their poison lacing every facet of our lives.
The enemy is smart. What if, just bear with me, what if the organization is multi-dimensionally organized from A Single Source in a Dimension not accessed normally by regular humans (hence the drive to open forbidden gates in CERN), and once manifest in earth's normally perceived dimension takes root in many centralized forms, still, top down and compartmentalised?
How to kill Cancer?
I agree, we have to fight evil, corruption and ignorance when we encounter it. But by not putting more resources into understanding the root cause, are we not condemning ourselves to fighting the symptoms of the cancer instead of its root cause?
Good questions! I gotta go make dinner, but this comment deserves a full post as an answer!
Short answer is to play whack-a-mole with them and to take it up the chain one link at a time
Do we have the time - or are we running out?
Enjoy dinner!