The idea is interesting for lightweight computers e.g. chromebooks and ultrabooks, but it would irk me a lot to have my browser and personal information running on some other machine that I don't control.
What I would be super-interested in though is a self-hosted version of Mighty, that I could install on a Linux box anywhere of my choosing. For example, the server runs on my powerful desktop at home, and my ultrabook in the bedroom can be a client.