I'm wondering if promoting better relationship with each other has the same effect as fighting back against something that is actually harming us?

There’s overlap - I think mostly we harm ourselves, then we harm each other inadvertently, and lastly we harm each other intentionally. So promoting better relationships is a piece of it, but helping each other not harm ourselves (ie reach enlightenment) has the biggest effect. The hard thing is to balance it with our need to make a living, and to also not trigger some landmine of aspirational truth that others are determined to hold onto when we share our perspective.