I'm guessing you're a fellow Greek-American? I've been there once for a function and the patrons by the bar and playing tavli were as oldschool (emphasis on old) Greek as you'd expect. They had a portrait of Kolokotroni on the wall so they're legit enough. I never got the deal with their association though, if any - I've always assumed Sts Constantine and Helen. But who knows, maybe they're secular? tl;dr I wish I knew.