Vestal - Sorry, it took me til this morning to see your post!
Your point is very close, I think, to what JA is saying - that this society is highly interconnected, and that there are duties/responsibilities to others. (This goes hand-in-glove with a view of the 'naturalness' of social hierarchy, the need to have good, moral, wealthy 'leaders' - but it's not uncritical of sclerotic, class-based privilege for privilege's sake, and that critique grows in JA's later fiction, particularly if you think about Mansfield Park where the inheritors truly are a middle class couple).
The Rousseauvia school, by contrast, is about questioning social mores as potentially old-fashioned/the result of a corrupt and fallen society, and following your inner sense of virtue, sometimes against the grain of the social world, sometimes in order to build a better world. (This goes hand-in-glove with a more individualistic and democratic sense of morality, though that is complicated by the fact that there is often a more collective, radical political programme in there too - Rousseau is both the great theorist of the individual, and the great theorist of the general will).
Sense & Sensibility is possibly the JA novel where this contrast is most in evidence - Marianne's behaviour, her focus on feelings over forms, on inner guidance over social guidance, bring her close to the position of a heroine of 'sensibility' fiction, if not exactly Rousseauvian, then close enough to be both morally and politically suspect to JA. Versus Elinor's more calm, rational, undemonstrative heroism, which is all about a dutiful attention to the feelings of others.