Make sure you update to the latest version of Kubla Cubed (Version 4.3).
You can copy and paste elements like the Strip, Platform etc... from one phase to another using the keyboard shortcuts
Ctrl+C and
Ctrl + V.
The scenario you described can be resolved this way. There is also another copy and paste trick that you will find handy which is that you can copy and paste the positions from one points table to another. There are a number of ways that this can be useful, for instance if you wanted to copy\paste position values from a spreadsheet or csv file. To select all the values in the table click on the button in the top-right :
Send me and e-mail if you have any feedback on this progress. In a future update we are going to add an 'Edit' menu with this Copy\Paste options as well as undo etc...