BYU Cheerleader reunions?

Being a Brit in Australia I am appalled. It sounds like something out of a Monty Python script! I thought segregation at that level disappeared decades ago. It would never be condoned in Australia and you'd get a good old Aussie confrontation if you tried it!

VFW and AMVET halls, at least the ones I attend euchre tournaments at in Michigan. There's discrimination against atheists as well, see the scan attached. This is part of the membership contract—you have to sign and agree to this—if you wish to become a member. Then during the induction ceremony you have to verbally pledge the same. I don't know how this can be legal, these are not private organizations.

Hair is very personal, I know I'd want the person "doing whatever" to my hair to understand my hair.
Undertakers and churches? People congregate in these for comfort.

Seg·re·ga·tion
ˌseɡrəˈɡāSH(ə)n/Submit
noun
the action or state of setting someone or something apart from other people or things or being set apart.

"the segregation of pupils with learning difficulties"
the enforced separation of different racial groups in a country, community, or establishment.
"an official policy of racial segregation"

It seems like the things/places you mention are self inflicted separations...
Since they are not 'Forced' I think maybe the word might be "separations"...

I think no one is saying "you can't have your hair cut here..." (Though that May be a specialization)

I think self segregating groups (jews etc)
Are VERY different from forced 'segregation'...

I don't think segregation is the correct term.
You are observing people of different races preferring different service specialties.
There's no 'white folk hair only" sign at my (Mexican) hairdressers salon.

That's shocking.

Segregation makes it sound like the racial separation was imposed upon them by an outside source, but damned if I can think of a better word. I've noticed it too, but I figure it's because like attract like and sometimes minorities want to have their space without white people muscling in on it. I just operate on the assumption that I'm not allowed in there unless invited and move along. Especially when it comes to hair. Black hair needs different treatment than other kinds of hair and someone who is well-versed in one kind but not the other may accidentally do harm. Mine's not typical white hair, so I go to places that have a mix of races and ethnicities.

Working with some types of hair is a specialty not everyone is competent to deal with. I once idiotically had my hair wrecked in a black hair salon. It took months and hundreds of dollars to repair. Awful.