Rangers do now writer permits for the Wilderness. You do not need a permit to enter the wilderness. Only to camp in it. The NPS did not ask for the beach to be excluded from the wilderness. In fact, the NPS did not want the wilderness at all. Local people wanted it to stop the NPS from making more visitor facilities. Residents on Fire Island agreed not to block the wilderness designation if driving access on the beach was maintained. Finally, the original post does not say that the wilderness is threatened by the communities - it says the park is. And it is. Dredging, bulkheading of the bay shoreline, and building on the dunes is damaging the island's integrity and interfering with visitor use.