Really? Even today, people are well on their way to being easily controlled. The secret is to do it by degrees, so that people never notice the change. And if you can make anyone who might start crying foul into part of the Tin Foil Hat Brigade, then how easily will they get people to resist you? As far as brainwashing goes, you see it in plenty of places on a national/regional scale. To use a simple example from the US, I give you the Tea Party. But because there is no leader in charge, no one directing the narrative, you lose steam, and much of its power is wasted. Likewise, because the people in charge are only looking to two years from now at most, the lack of a long game hampers them. Dragons would not have either of those problems. And they have wealth and power to push aside many of those who would oppose them, or to marginalize them and make them into convenient pawns to further drive people into their net. This is, afterall, the methodology they described in Conspiracy Theories, you know?
Furthermore, you don't run it as one big organization (SK pushes something, Neo-NET and Aztechnology will resist on principle). No, you go through multiple shells and fronts, using dupes who may not even know that they are being controlled. In one place, you might insert someone in a Mothers of Metahumans clinic. In another, you might infiltrate Alamos 20K. You may use a number of A and AA corps (or even unrated local corps) to hide the trails. Lofwyr, for one, has already shown he can do this with the best of them. Dunkelzhan was a master as well. For the common man, it doesn't matter who actually calls the shots, they recognize the name on the door, and often don't even bother to look at who is behind it.