With ours we used to put both child and cat in time out. One of old cats was very vocal and we used to "parent" him the same way as the kids, they're very intelligent creatures and will learn acceptable behaviour. Maybe give the cats somewhere safe to be, somewhere up high that they can get to. We did this, once the cats had enough of the kids, they would wait until the kids loosened their grip and then the cat would be gone. Yes we had instances that our big old bruiser of a tom (not the vocal one, very quiet so never got warning that he was "at the edge) would swipe a kid (claws retracted) but when you asked the other kids what lead to this, you discovered it was after a lot of tormenting of the cat. This tom would claw an adult for the heck of it but never once did he ever claw one of the kids.

In the situation you described above (personal opinion) Mr I should have gone into time-out for teasing the cat, they were playing together and the cat "warned" Mr I for going a bit too far (which you punished the cat for - which will confuse the cat), you probably would find that Tabby didn't have claws out. We used to find all the time that claws were retracted when this would happen, it is just a warning for the child to be wary of the cat, that the child was pushing the boundaries. Maybe Mr I needs to be swiped to learn the limits of what he can and cannot do with Tabby.