I don't think we should be so harsh on Pepe. I know he can be aggressive, but we've lacked that at times. This season some players looked like they lacked that iron will to win at all cost that champions need.
Think of the likes of Terry, Cole, etc shouting for every decision, or various rags down the years, title winning Arsenal players like Keown, they contested everything. Most of them were odious wankers on the pitch (and many off it!), but they won trophies. A lot. We need some of that. Pepe would take no shit and provide valuable CL and big game experience.