Convicting them
might be inappropriate, depending on the unknown history and the extent of the bullying.
Arresting them sounds very appropriate to me. Kids suffer horrible bullying these days compared to anything I grew up with. I recommend everyone see the movie (or popular children's play), "Bang, bang, you're dead". This is the film Bowling for Columbine should have been.
When I was a kid, there was a program called "scared straight". I don't know, but they may have needed your parent's permission. Anyway, cops would come to the school, or your house and arrest you at any age from like 5 on up... take you to jail and even lock you up for a little while. Then they'd have some scary prisoner dude talk to you through the barsÂ… and tell you what a terrible life being an outlaw has been.
I don't know if you can measure the effect of that kind of a program or not... but it seems like a damn good idea to me. Were it up to me, the school's would divide all the kids up
based on behavior, not scholastic ability.