I'm just following the OPs line of reasoning.
Collective action is not hate, and change doesn't require hate. Mobs today act out of anger and hate. And that creates more anger and more hate.
It's hard to love people that you perceive as evil - but wow is it ever powerful when you do. Daryl Davis is such a great example of this as another user pointed out.
MLK's approach of "love" (the carrot) also wouldn't have worked without Malcolm X and the Black Panthers' threat of violence (the stick).