As mentioned in the writeup, there's a beautiful way you can protect even non-power-users. Because the extension downloads and verifies the webapp HTML, CSS and JS every time it runs, the web app is constantly being validated.
As long as you have a critical mass of power users who installed the extension, an adversary cannot tamper with the web application without immediately being noticed.
A strong adversary could still commandeer the server and serve tampered JS to a specific IP without being detected. Users who are specially targeted by such an adversary must either install the extension, use Tor, or both.
My goal is to make Scramble usable by a wide range of people. For a nontechnical user, it's just as easy as using Gmail--and at a minimum, they get the advantage that Scramble servers never store plaintext.
A user with stronger requirements can do more, and can get stronger security guarantees.