That's the plan. Mozilla are just waiting on Gmail to cooperate and implement Persona on their side.
In an ideal situation, both your browser (eg: Firefox) and your email provider (eg: Gmail) would support Persona. In that case, you don't have to click on any links to prove your email address, you don't have to create a new password, you don't have to trust Mozilla's servers to store a hashed version of your password correctly. The log-in dialog itself with be part of the browser chrome, training users to trust the browser and not the website, which is a good thing.
If your browser or your email provider don't support Persona, then Mozilla have provided fallbacks, which require you to click a link in an email and to create a new Persona-specific password.