"Some of the ClamBook features highlighted may use modified software. It is important to note, most manufacturers strongly caution against installing any software that modifies the original device software (this process is often referred to as “jailbreaking” or “rooting”)."
There are iOS AirPlay APIs for video mirroring on later devices[1] (you can even have different content on the external screen and phone's screen), though I'm not sure how they'd manage to connect a keyboard or trackpad.
This strikes me as more of a design mockup than a viable product. The company does have existing products[2] but they're not nearly as polished.
[1]http://www.apple.com/airplay/ [2]http://clamcase.com/ipad-3-keyboard-case-black.html