What a thread -- so many people trying to define so many other people: what it means to be them, what it means to be "us."
^ this
In post #17 I defined a secular Jew as "a Jew who does not self-identify as religious." Labels such as "religious" and "observant" can be extremely problematic, not only because they are heavily connotative, but also because the connotations are not shared with any degree of fidelity. If my definition has any value whatsoever, that value stems from the phrase "does not self-identify."
The following may prove useful: