There is a similar request in our Feedback Portal for coping project. You can go and vote for it - here. I would highly encourage you to go open the item and vote for it, as the more votes an item gets, the more likely it will be to get implemented sooner.
In short term you can create a project template from your project. You need to insert a record into database with your project configuration (check the ProjectTemplate table).
And to use import/export functionality for Stories. During the import all the iterations define for stores will be created. We will add the export for all types into the HTML interface for the next release.
If you have any other ideas or feedback, please contact us at any time or submit them in our Feedback Portal.