Lizbud, you misunderstood me big time

I DO train Ivy out of her negative behaviors. But here's the thing: I train her using positive reinforcement, coping mechanisms, and teaching self-control. I train her using desensitization and counter conditioning. I train her with the clicker. I use Premack's principle. I use come-and-go training. I train *holistically*. I train Ivy, ultimately, to teach her to cope with her emotions and to view the trigger as a neutral object. To ALL aggressive dogs, they attach a fierce emotion to the trigger, whether it be excitement or fear. If you really want to get rid of that explosion of aggression, you have to remove the emotion that is attached to the trigger. You have to counter condition it. THAT is how I work with Ivy, and I refuse to use extreme force on her (i.e. the CM-endorsed alpha rolls and assertive touches).

she submitted to you right.

Yes not everything is realted to a dog being dominate. But You did use the same sort of principal with your dog.

when she reacted badly you stayed "Calm and assetive" and placed her in a submissive position on the floor till she settled.

it is the same thing CM(like the abbreviation) does with the dogs he works with. You did seem less forcefull i will admit.
Au contraire, again. Yes, she submitted to me. That is my point. She submitted to me WITHOUT the use of force or subversion. She submits to me because it's natural, because I've earned her respect as a leader. HOWEVER, she also has a natural tendency to react/aggress. According to CM's methodology, virtually all bad behavior is linked directly to inadequate leadership. So, my question to him and all who subscribe to this methodology, is: How is it possible that a very submissive dog is simultaneously extremely reactive towards other dogs? Does this case not completely refute CM's methodology?

It is not the same principle as CM. As you can see, she was not reacting at the moment. I was merely showing you extent of our relationship - clearly, she is submissive to me. BUT she STILL has natural tendencies to react. I was using that video to counter CM's fundamental training beliefs.

ETA: By the way, if I'm coming off a little "harsh", I really don't mean to. Aggression and reactivity are truly my passion of passions. I adore this topic and it is incredibly personal, so, in the midst of that passion, I can get a little virulent. I really don't mean to :/