Bullying sucks, but without it, you may never learn to stand up for yourself and handle shitty people calmly. You will find bullies as an adult, and by trying to shelter kids from them, we make them more fragile.
Shame isn't a bad thing necessarily. Shame is used in societies to move social norms in a general direction and make the society more predictable (and thereby "safe").
The kid who bullied me and my friends in middle and high school died of sleep apnea. One of the people he bulled, one of my good friends today, literally works as a service technician for CPAP machines. .. Kinda ironic ... also don't feel sorry for that kid at all.