How far should this go? Should banks refuse to service employees? Grocery stores? Gas stations? They are private businesses, they have no reason to tolerate people who are thinking the wrong way.
1. Should there be a bright-line rule - either enforced by government or strong social pressure - about whether people must engage in business with other people, and on what grounds they may discriminate?
2. Should there be a social norm that businesses should try to serve all customers where possible, for the good of customers?
Our society generally answers 1 with that you must refrain from discriminating on the grounds of deep personal characteristics and no otherwise. You cannot throw someone out of your bar for being black. You can throw them out for being drunk and picking fights. You cannot refuse to hire an employee who needs to take a few breaks a day to pray. You can refuse to hire an employee who needs to take a few breaks a day to hire Fiverrs to do their job for them. You cannot refuse to offer credit cards to ethnic North Koreans living in America. You can (and must!) refuse to offer credit cards to North Korean citizens.
This is a sensible position, because it balances the general right to freedom of association / the government not micromanaging your business transactions with the more specific individual rights to participate in society. I cannot change my race, and (we have decided) it's unreasonable to expect me to change my religion. I can (we have decided) change my competence, and I can certainly change whether I start bar fights.
We could decide otherwise, but I think the existing position has a lot of merit.
Number 2 is a more interesting question, but I think the norm of our society is that it should be answered by the free market. We expect that businesses want to serve as many customers as possible anyway because it's the most profitable. Should they decide that they don't want to serve certain customers, it's generally not the place of either the government or strong social norms to say, we wish to override your decision-making process and tell you what to do (apart from the bright-line rule in question 1). Part of the freedom of a free market is that actors are free to decide what to do on their own, including to make mistakes, and no central planning committee tells them what is best for society. We expect this approach will lead to fewer mistakes and a better society.
Again, I think this position has a lot of merit, and we should figure out why we want to change it.