If you were emotional with the results, and you reacted in such a way, Every action has a reaction, if your coach did what he/she did on stage, then what do you expect from a judge?
They broke the rules, You broke the rules, they broke the rules, you broke the rules, its just a back and forth drama that will never end.
Just let it go, and Speak to those people privately, (Gary, the judges, whoever) and keep it away from BTF because it discourages EVERY ONE, from competing or attending these competitions. Your 17 years of experience you claim you have, is not holding up at all.
You got 2nd place and Best dancer award, clearly you guys did not appreciate that, and are acting ungrateful for that, so don't be surprised if the judges, organizers, or everyone here treats you in such a manner. There are people who have empathy for how your members were treated by the judges. This is not the first case in where a competitor felt offended or disrespected by a judge or organizers. There have been multiple cases, but it can be handled in a better way.
cheers and good luck to your future competitions. I personally know the captain of TAG (first place team) and they were not there just to compete and win, it was also to raise awareness for their youth initiatives they do around the world.