New blog templates not showing categories or menu

I've setup a few blogs to use as templates. One of them has quite a few categories and a menu configured. However, when I use the template to sign up for a new blog, the categories and menu don't show. When I try to create a menu with the same name, I get the message that a menu of that name already exists. When I view all posts, they show as being in the correct categories, but the categories don't show, and when I create new ones, they don't show either.