I think your asking a lot here. Sorry a bar of Lead can't be made into a bar of Gold ;-}
The logic boards of these systems are very different and are designed with different power and display systems. Your iBook is designed to run off of a battery while your mini is designed to run off of the AC line in your home. Your iBook also has a built-in display which is not compatible with your mini.
The cost of designing a new logic board from the ground up to support an Intel CPU that would fit into your iBook would cost much more than buying the latest 13" MacBook Pro. Besides I don't think you have the skills or tools (or money) Apple has to do such a task.