I'd give almost the exact same feedback as Duke40. Just wanted to share for another perspective
I'd say the big kicker on the cp3s is the cushion... that met zoom bag works so well with the cushlon. It's nice and responsive and will give you more impact protection that the Kobe 8. Though there is no heel zoom, the CP3 feels great in the heel to me personally.
The two shoes are pretty close for me -- I love the court feel, freedom and fit you get from the Kobe a little bit more -- but the CP3 isn't far behind and definitely gives you more spring into each movement.
This probably goes without saying but the CP3s play much better with a good break-in.