That's an interesting statement. Only in the West, and only in the last few hundred years can religion be conceived of as a discrete object, separate from culture.
Indigenous American and Hindu culture, for example, have traditionally had no such division between religion and culture. With the rise of global capitalism we may be starting to see a secular/nonsecular divide in traditionally Hindu areas (India, duh) but this is a very modern development.
edit: I should say, none of the above necessarily negates anything you said. I just think it's interesting.
edit number 2: Also, the above could also be further illuminated in a short description of the differences between orthodoxy and orthopraxy. Worth checking out each concept on Wikipedia if y'all are interested.