As a veteran he should know better to give away two cheap yellows. I'm a big Chiellini fan. Say what you want about him, he knows how to stop the best in the business. But bitching to the ref and then getting an imbecilic second yellow is bloody stupid.
He and Bonucci were playing in the worst passes into Mandzukic when there were clearly midfielders free. Part of it was Mandzukic's poor movement and touch and playing from the back is something we've been doing since playing the 3-5-2 but there is a time and a place and if it isn't working the first few times, stop trying.