Having married into a Greek family, I can certainly attest to this, but I'll shed a bit more light to the sentiment behind that statement. To the Greeks, the Greek church is part of their cultural identity, rather than a purely religious entity. There is a community that stems from the church, traditions that are intertwined in it, and just a general presence in their daily lives in a way that I don't think I've really observed in the US. Oddly enough, it doesn't really outwardly express itself as dogma or doctrine, in the way that I've noticed with a lot of Evangelicals or Catholics in the states. The church is more of an ever present fixture in Greek life than a strong belief in Orthodox teachings.