I noticed something strange. Even though I have the CB Login module successfully installed, and it does work, and I have the standard default login form unpublished, when I tried to access a page (that requires being logged in to view) when logged out, the old standard default login page came up instead of the CB login page. Why? Has anyone else observed this? How can we fix this?

Are you refering to the login box with the keys image that appears in the content area? If so I think this is a Joomla 'feature' . Might check Joomla's forums see if theres something there about disabling that.

Might also just try and make all menu links to the registered security level same as the articles are so you cant click on any of those items when not logged in.