As I explained in another comment in this thread, it is extremely unlikely that there is any quid-pro-quo exchange of money for favors by the journal publishers. I've heard plenty of third-hand rumors of star professors having an easy route into the prestige journals, but it's always because of a personal connection to an editor and/or exceptionally good reputation. I've never heard any rumors of money changing hands; the incentives are all wrong.
What I've seen actually happen is much pettier; without going into a ton of detail, it's full of perverse incentives and typical sloppy human psychology, even by exceptionally brilliant and otherwise admirable people. Academic communities also tend to be structurally very conservative and decentralized - thousands of tiny feudal lords working in loose collectives, aided by tens of thousands of low-paid apprentices. Organized change-from-within can be exceptionally difficult in this environment, especially since the apprentices are merely temporary workers, but also very smart and ambitious people who are difficult to replace quickly.
I'm basically paraphrasing the words of many more senior and successful former colleagues here, usually spoken in tones of despair or disgust. I suspect most would be happy if Congress simply passed a law forcing liberal OA policies for everything that federal money touches, because that's the money that really matters. So unfortunately we circle back to corruption, as the term normally applies to US politics: some rich person needs to start a crusade and spend millions of dollars competing with the publishing lobby. Everyone, right or left, should want their tax dollars to be spent more effectively than this.