The recent wave of password and hash theft might become an incentive to move to this login method. I was skeptic about the possibility of BrowserID catching on, thinking the Google/Twitter/FB wouldn't give up tracking users with their ID methods. But if there is a way to make this widespread (though I can't imagine how) I'd really like it to happen.
Will Mozilla provide native support or an extension? Or they feel like it would hurt if someone could implement a bad login page that still works if the browser has native support?