The Red Wings would be a cool name.
The idea of an "EoFF linkshell" doesn't appeal to me, though. Having all of the EoFF'ers in one shell is one thing, but making the shell all about EoFF is a good way to avoid meeting new people through FFXIV. When I play FFXIV, I'm there to play the blasted game, not chat about a website--and if all the EoFF'ers do is talk about EoFF, it's going to alienate everyone else. In fact, it would influence my server choice in that I'd want to avoid running into people who've been alienated by a shell that's just about EoFF. It would be awkward and unpleasant and that's why I wouldn't want to roll my main on the server with all of the EoFF people.
Why not make a linkshell that's just a linkshell, and then invite EoFF'ers into it? Then invite other people just because they're cool and not drive them away with excessive EoFF chatter/elitism/drama.