No need to nitpick. Being one among many in an X, one can perfectly use "our X", "my X" and "your X" to denote the same X, there is no logical error in that.
Now, the connotation is different: saying "our X will be judged by.." spreads the responsibility among everyone and makes it too easy to shift the blame onto the next guy, while saying "your X will be judged by.." stresses on your personal contribution to the X, making it not that easy to shy away.
I think the personal pronoun you use is very interesting.
In your case, you seemed to be representing the common idea of a different culture, ie 'my society thought your society was this or that', eg 'Muslims think western societies to be greedy and unkind'.
Do you really think of yourself as one of many? If so, which type do you identify as? And then, do you think you are personally responsible for the actions of others of your type?
I personally think the general usage of a general collective pronouns to be inevitably misleading, but has the benefit of allowing one's preferred poor and unsubstantiated beliefs to be stated as indisputable fact.