ctnd....
e.g., I know non-religious Jews who wear Star of David jewelry. It is a question of cultural identity, not religion, just as maintaining heritage buildings does not mean you also maintain the social values of the 17th, 18th, or19th century, just that you respected your cultural heritage and want to preserve it.

Requiring women to hide their faces is designed as a way to make them socially invisible in public space, to prevent genuine social communication between women and their society, and therefore true integration.