Just like I thought. I'm sure your solution would work when majority are nice people. That won't work on people who are from "lower social circles". We still have a lot of them in Poland and don't know how to make them behave better, because trying to make them behave better typically results in defensiveness about their way of life and a lot of excuses about their circumstances. They only dig their heels and start being more aggressive.
Most humans are nice people. Many are also overwhelmed, self absorbed and make excuses.
That general observation, for me at least, describes the world from rural Pakistan to backwater Tschechia.
The only exception were groups that had a very strong in-group out-group separation. These people always treated me with too much suspicion to express passing kindness.
I agree, but bullies actually come mostly from that last group. Putting pressure on overwhelmed, self-absorbed or excuse-prone people in order to educate their children better won't work. I think bullying is because of lack of proper emotional education of children, it would be better to educate those parents and children in how to behave and why, but that requires resources most schools won't have and I've never seen anyone actually teaching this in schools.