seems like that your "rights and responsabilities" are quite similar to the Ten Commandments. So, being an atheist is something like finding a new name for an old stuff?

I'm disappointed

No, being an atheist is more like getting rid of a lot of old stuff you don't use any more.

The point of the page is that, even though atheists are not that morally different from "Bible believing" Christians (or, at least, from how many of these Christians describe their morality), many Christians still condemn us as immoral.