So for example, I use Ease and Wizz and other ScriptUI Panels all the time, but I don't know how to dock them in AE like you would the project window or the timeline or something like that. Can this be done? Am I totally missing something?
For a script to be dockable, you must install the scripts into the ScriptUI folder, and you must invoke it from the Window menu. Then it will open as a panel, and you can drag and drop it into the UI as you would any other panel.