First, the duplicate with detailing makes a copy of the view and any annotations that are placed on the view. If you actually copy/pasted the callouts and section tags you would get copies of those views without the detailing on them.
To create your clear story plan, you don't want to copy your original plan, you want to click, view>new>plan and select the level of your clearstory, this will set the cut height where you want it., Now if you need to ref. your details, you do a callout, and check the ref. view button in the options bar, then from the pull down, select the detail you wish to ref.