FWIW, I think taking on the FL in court would be pretty tricky unless there's a watertight case. Stevenage tried and failed, and the judgement said...
"The onus of showing that a restraint is reasonable as between the parties lies on the party seeking to impose the restraint. But where the restraint is part of a system of control imposed by a body exercising regulatory powers in the public interest the onus of proving that the particular restraint is unreasonable, because it is contrary to the public interest, lies on the party who makes that assertion. If admission criteria are shown to be arbitrary or capricious in effect, whether because of their content or the way they are applied, they are open to challenge. But the onus is on the challenger, and the Court will give due weight to the judgment of the responsible bodies."
http://www.5rb.com/case/Stevenage-Borough-FC-v-The-Football-League
Wordy, but in essence saying that as long as the FL have stayed within their own rules, and those rules aren't "arbitrary or capricious", then trying to sue them for stuff like restraint of trade (based on not getting the 'golden' share) is going to be hard work.