The SCLogin module won't display what you're looking for. However, you should be able to do what you want pretty easily. We'd recommend:
* Configuring the SCLogin module to show to "Guests" only. That way, users can login with it
* Configure the K2 (or other Login module that you like) in the same module position and set to show to "Registered" users. That will show once users are logged in.
With the above, you can have the best of both worlds of whichever module features you like for logged in vs logged out views.
I hope that helps,
Alex