Based on the information I have available to me, it appears that the MIT ChainAnchor Project is in part an attempt to get Bitcoin users to register their real world identities and associate their transactions with those identities. Initially this would be on an opt-in basis, however it appears that ChainAnchor has a longer-term plan to bribe and coerce miners into only mining transactions from registered users, eventually prohibiting non-registered users entirely.

If ChainAnchor is fully successful to use Bitcoin at all you would be required to first register your real world identity. Your transactions would be linked to that identity in a way that that a court order, or even a hacker, could uncover full details on every Bitcoin transaction you make - your entire financial history, and for that matter, the full financial history of all Bitcoin users.

This would be done in three main stages: