Every single episode says 'do not attempt this... without the aid of a professional'; why? because he is dealing with very aggressive dogs. Every episode says he 'rehabilitates dogs, he trains people'.
I'd say that he is fairly robust when a highly aggressive dog is attacking him, and that is what I would expect any person to do in that situation. He does not scream, shout or panic though, he brings it back to a calm state and waits till it is relaxed. You can't fake a dog being relaxed, it is incapable of faking that. I will accept that some people think that that is cruel and we would have to agree to disagree on that one.
Not one poster on here is saying how they would behave when they are being properly attacked by a vicious dog - offer food? say sit? Use a clicker? What is it? You have no time to think, it has to be instinctive. So tell me what you do instead of just moaning about someone sorting out a problem in a way you don't like.
What about the episodes with the traumatised dogs - Gavin in the New Orleans devastation or Babygirl or Luna? He didn't bring them to submission, he brought them to relaxation. He didn't use any violence as suggested above, there was no need to use 'robust' strategies because they were not aggressive dogs.
CM doesn't seem to have any interest in teaching dogs to sit, stay, heel, he wants them to be relaxed by using exercise, discipline, affection. He specialises in highly aggressive dogs, which the majority of dogs simply are not so you would never have the need to use dominance techniques for problem behaviour.
I don't want to be some kind of apologist for CM I simply am not that interested in him even if it may appear otherwise. However I am not going to be told that no reputable organisation supports him because that is incorrect as 5 mins on Google shows - there is a long list of organisations that support him (and a list of people who don't). Even the American Humane Society made their peace with him and issued a statement accordingly, and I am not accepting that they are not reputable just because one person on MN say so.