I'm not quite certain why you'd be bothered about what gets used for the carbon layup either - ACR's very rapidly making it into my list of posters who say things that are superficially impressive, generally over-complicated, and wrong after the simplest analysis.
Personally, I was going to say that Shoo Goo gets a lot of recommendations in another place and that, as an adhesive specifically designed for shoe repair, it would be the first thing I'd try. The three posts up there^^^ that report success with it just confirm my view.