In many jurisdictions, the electric utility is a private corporation. Is it ok for the power company to turn off power for a business they think is immoral, like, say, a strip club? Obviously it's not; laws prevent that sort of thing.

So at this point we agree (as a society at least) that some businesses should not be allowed to conduct business according to their ethics, but instead must do business with anyone who shows up at their door. At this point it's just a matter of deciding which businesses that rule should apply to. I would argue that payment processors are approaching utility-like levels of essential use in our society, if they aren't there already.