Two corporate2 template in one site

Since Joomla 1.6 supports multiple templates, can we have two sets of corporate2 template in one site. I want to (the top main menu in Grey) have two sets of Main_Menu, (1) for public (2) registered users. For both the home page will be different. As we have in Joomla sample data, "Fruit Shop" and "Australian Park"

Can I use the corporate 2 template for both.
Is it possible.

Regards