Rob, I enjoy reading your posts - always articulated well, thoughts explained in a succinct manner, and for the most part you're pretty unbiased. But...
This was a 6 year old child.
All those educators needed to do was to put the child in a room, and call her parents. Simple. If they are unable to control and mold the mind of a 6 year old, I would suggest they perhaps made a wrong career choice. The whole point of being an authority figure is to command authority and to assert said authority in a manner that is tempered by common sense (e.g. "How much risk does a SIX YEAR OLD GIRL pose to all these adults and the dudes with the bullet proof vests and guns and mace and nightsticks and tasers..."). This was just a comedy of errors, perpetuated by people who should perhaps take refresher courses on how to deal with children...
I'm with you on the corporal punishment bit - I bet you'd see a lot of more respectful brats.
P.S. You could have put her in the back of the police car, sans cuffs and let her finish off her tantrum there, while waiting for her parents (all in my opinion, of course).