Max,
Unfortunately, what you're asking about is very difficult. There's not an easy method to pull the share counts from the social networks on a whole site basis. There are ways to pull the counts about a specific URL, but the stats are very light and probably not with all the details you're looking for.
So, to do what you're asking, we'd need a way to know about every URL on your site ahead of time, which is not something that's easily done. We'd have to have some way to generate and test each link, menu item, article, etc and then query Facebook and the other social networks for the stats. It's been something we've investigated before, but not something I could give any timeline on when, or if, we could implement it.
I hope that helps explain,
Alex