I love this idea. I have been working on something similar and would love to discuss this with you some more.

Anonymity is important but tricky. Many researchers believe that anonymity can be key to countering groupthink, where people say what they think is socially acceptable, and not what they actually believe, for fear of denunciation and retaliation (some great books on this subject: Elizabeth Noelle-Neumann "the Spiral of Silence" and Timur Kuran "Preference Falsification.") Anonymous polling, for example, is probably critical to the functioning of a democracy.

In social media I think anonymity is more tricky. One idea I have is that posts always have an author, but likes and other indicators of support and popularity are anonymous.