There are plenty of people who like each other that have nothing in common. The idea that the reason people like people is because they are like them just feels ridiculous to me, but maybe I am an outlier. Personally, the more someone is like me, the less I like them.
But the bigger, weirder argument you seem to be making is that you shouldn't hire people that you like. I would say life is too short to be spending it around people you don't like, if you can help it.
I say that it is very possible to hire only people you like, and still end up with a diverse workplace free from abuse. You just need to start with good leaders.