“whites only is repugnant”
Many churches and other organizations are blacks-only. That’s equally repugnant, but there you have it.
Most so-called "black churches" are not anti-white. They're simply Baptist churches that a lot of blacks happen to attend, and any white people who want to attend are welcome. Marine buddy of mine took me to his (almost) all-black church, and the people could not have been more welcoming.
Obviously, that doesn't apply to some militant/separatist churches.