Do you really want a world where you can get banned from random businesses for completely unrelated degeneracy? It'd be bad news for furries like you. Not exactly an "appealing track record" to normal people.
This point doesn't work on a larger scale because Richard Spencer isn't the average internet tribal protected by obscurity. If I owned a gym, I wouldn't want to own the gym that Richard Spencer goes to. I wouldn't want Richard Spencer, when asked what gym he goes to by all his national socialist buds, to say "SeventhSandwich's Gym". I wouldn't want my normal clients, who see his face on the news, to decide not to come to my gym anymore because we harbor people who think many of my gym-goers should be exterminated.
Richard Spencer's national socialist bullstuff is never an 'unrelated' part of his person. He is probably one of the most well-known white supremacists in America right now. His face is the closest biological brown townogue to a prison swastika tattoo. He doesn't get to just put that persona down and go be Richard Normalguy on the weekends - the choices that he has made in life have rightfully made him a visible symbol of racism.
If I found out, through completely unrelated and coincidental means, that one of the guys using the rowing machine on weekends is a Klansman, I would leave him alone since he gave me no reason to believe that otherwise. It's not my job to curate people's private lives by using my gym as a court of law. But nothing about Richard Spencer's bullstuff is 'private', and harboring outspoken national socialists at your gym is bad business.