In general, most people would be naturally apprehensive about federating their entire user authentication system through a third party. However, I suppose that by using hoodie you are supporting a group of people whose only job is to ensure security and fix vulnerabilities in your login system. It's also open-source, so you can vet it for yourself.
The JS library needs more work though - I could think of several basic use cases that it can't handle. It would also be great to see some full examples. Overall this is very cool stuff.