[LudwigNagasena]

There is no difference. Whether something is immutable is to a large degree irrelevant.

[growse]

So do you think I should be allowed to kick people out for being black, or that I should be forced to serve everyone no matter their actions?

[LudwigNagasena]

Neither. It depends on the specifics. Should you be allowed to not serve someone who has anger issues? Does it matter if this anger issues are caused by genetic hormonal imbalance?

[growse]

So there's an angry person in my bar right now, shouting at everyone and driving away business.

Who gets to decide that throwing them out is allowed or not?

[LudwigNagasena]

The laws and you.