Hi,
Your wbesite is not working because of your template so I couldn't check it.
When you change that option, that doesn't remove the registration form completely, as you still want to ask for the email address and the address of the user, however, it removes the username and password fields and no account is created for your users on your website. Isn't that what you want.
If you don't want to ask for the address, you can remove the address fields in the menu display->custom fields and if you don't want the email address as well, then you should remove the login and address view from the checkout workflow option of your configuration.
The login on the left can be turned off with the "login" option on the same screen.