I voted 'no'. I would not knowingly patronize such an establishment nor would anyone I know. My answer is in regards to the U.S. since that's what the thread is referencing to.
However I usually prefer bars, clubs and stores where the minorities are the majority due to places I grew up, music and cultures I gre up with and I feel more comfortable with people like me. In the case of Black/Latino barber shops they're the only ones that cut my hair the way I want.
But if the place is openly racist and makes in known I will not patronize the place.