EssDub
A specific Facebook page should be used as an extension of communication for this site, not as a copy of the information provided on this main site. It should be used to provide incentive to sign up to the forums to gain access to all other facets of the organization.
If I understand correctly, you propose a facebook model similar to a commercial website / company engagement? I think that has its merits, however it think it takes away from the social aspect of the club and how individuals use facebook opposed to how a company maintains a social media profile.
I like the Toymods facebook model - main page for "an extension of communication" news etc. for the website & forum plus a private facebook group for member only discussion.