That depends on the area of the business, if I opened a whites only store in Baltimore or Chicago sure it would fail, however if I did that in rural Alabama or Idaho, the business would probably survive.
That's one way to look at it, here's another.
You've got a POS racist who owns a business, he can't segregate his business so he gets business from black ppl who are making a POS racist who hates them rich. Rather than taking their money to a business who deserves it.
On the other hand with the economy the way it is, can anyone really afford to segregate their business anymore, unless they are really, really stubborn? businesses are closing left and right, I would assume most businesses would be welcome to any kind of business regardless of color right now.
Completely agree, the market and americans would handle the race issue far better than gov't.