I once beat up a bully who kept picking on me and other smaller kids. Would I have to feel his shame and rage?

I guess you would, but you would also feel whatever good feelings the other smaller kids experienced after you got the bully to stop picking on them. I guess the question there would be, which would be worse, feeling the pain and rage of the bully and the gratitude and relief of the smaller kids (and maybe other good things as well), or not feeling any of those things. Or maybe just not having to feel.