Why are most Christian churches so extremely segregated by race?
Agree with @FortyTwo but would go even farther. This country, and many others, are becoming internally more and more homogenous/tribal. Whether it's religion, economics, politics, skin color or whatever we aren't challenged by different perspectives as much anymore. As @MsOliver pointed out there are a few cracks in this movement but not many.
Because they were so segregated by slavery
Yes, the social/togetherness aspect prevails here, and socially we're still quite segregated. And virtually none of the church attendees understand the chemistry of community.
This is scientifically known and understood. What's happening in their brains that gives them that 'feeling' they only get in church. The chemical response/reaction can be found/elicited in virtually any other communal activities as well.
Churches vary by denomination. Some denominations fit better for different cultures among races. Its also the difference in how one denomination views the beliefs of another denomination. Church is also big on community. It usually will reflect the demographics of those who live in the local area. I think just as in any community people will connect with those who are most similar to them.
History. Most black church goers can trace their roots back to the southern states. That sort of thing perpetuates itself. As for the Assyrian and Coptic, and Aksumite churches, they were cut off from mainstream Christianity by geography and Islam. It’s no real surprise. Most western Christians can trace the heritage of their faith back to the Roman Empire. It really became a European phenomenon.