In case you wondered what that Invite thing was that was visible for a while during the last Kinja rollout, here's what's in the works. In the post's comments (and posted below) is how to change your linked third-party service for login.
With this new feature, we're opening up the ability for you to do this.
If you follow the link to go to your account settings, you can connect your account to a different third-party service > change your login account to that service > disconnect your current twitter > reconnect a new Twitter! Just make sure you're logged into your new Twitter when you press Connect.