In the end, the answer to perceived “divisiveness” is just to counter by being welcoming and not drawing lines between ourselves. And if we feel someone draws those lines, welcome and respect them anyway, and we’ll be able to work on past it.
IMHO this is something that I think people are naturally inclined to do, and that the mark of enlightenment is transcending that urge.
People are, by our human nature, tribal. We are inclined to think of "us" and "them". And by nature, "us" is good, and trustworthy, and someone we welcome, while "them" is bad, or untrustworthy, or dangerous and someone we should treat as a threat. Who is in the "us" category vs "them" category might be based on skin color, by gender, by political party, by class, by religion, by nationality, or by 1000 other distinctions.
But it's all bullshit. Yes, there are bad people in the world. And there are good people in the world. But "us" aren't universally good, and "them" are not universally bad.
Drawing these lines between ourselves is something that probably made sense when we were hunter-gathering tribes, but the more we can avoid it now, the better off all of us will be.