Irish New Yorkers in 1933 didn't want Irish rights, Irish houses and Irish jobs, they wanted rights, houses and jobs. That's what I mean by individual examples of universal interests. Nobody went around saying, "I'll only work for an Irishman," or "I'll only live in a building built by an Irish mason."
LA has always had a lot of gang warfare, which divides itself along ethnic lines because that's the underbelly of human nature. Gang warfare is a great example of everybody doing things that are very bad for themselves and others because of a perceived division with little basis in fact. If there's enough gang warfare I guess you could see racially segregated unions, like in the deep south, but that is again against worker's interests just like how segregated churches oppose God.
It is very difficult to find even a selfish motive for segregation unless you are an actual slaveowner or apartheid government official.