In JA's novels there is such a great emphasis on worthy character as revealed through good behavior, and almost no mention of religion as such, in the early novels at least.

Yes! Yes! This is exactly what you would expect of Latitudinarians- not doctrine but example, not religiosity but morality. George Austen would have considered morality and religion to be virtually synonymous- as in "morality is next to godliness!" ;-) And yes, his daughter stuck with his Latidudinarian views, it seems.

I notice that social virtues are especially important, virtues dealing with interaction between people. Thus selfishness, vanity, greed, thoughtlessness cause the most damage (snip)

Yes, living in harmony with one's neighbours and putting others before oneself is a fundemental of this thinking. To act morally is more important than talking about religious subjects.