wordpress has two parts: The code and the database. The database contains all the data you create - the users, the posts, categories, permalink settings. The Code, using the info in the database, creates the html that displays all the pages.
You can add 'extras' to the code - plugins and themes, both of which may store data in the database to help create the HTML that will display the pages you view. All the Atahualpa theme settings are stored in the database.
If you just move the database to a new blog, you will not see the Atahualpa design you built - UNLESS you have the Atahualpa theme in that WordPress install also (takes both parts, the code and the info in the database)
If you just move the Atahualpa theme CODE to the new wordpress install, you won't see anything untill you move the Atahualpa settings from teh DATABASE.
You can move the code using an FTP program, but to move database settings you must export the settings from one database and import them to the new database (phpMyAdmin being the tool of choice)
One other way you can setup a second Wordpress to look the same as the first is to go page by page and copy the settings using copy/paste to the new database.