I use VNC to view my mini on a laptop. It works quite well, but doesn't handle things like animations and video too well.
You could use "OSXVNC" as the server on the mini, then you could use "Chicken of the VNC" as the client on the laptop.
In theory you might be able to remove the screen from the iBook and figure out the pinout for the pannel's connector, then make an adapter to connect to the mini.