There were and are people who have firm solid longstanding religious beliefs that women should dress a certain way and should stay in the home or that people of different races are either inferior or should not mix socially or that unmarried cohabitation is sinful or that someone of a different faith or no faith at all is "evil" and going to hell.

This is all fine. They are free to have those beliefs, marry people with similar values and reproduce those ideas in the next generation. What they are less able to do since the 50s and 60s is to use those beliefs as justification to discriminate in housing, employment, public accommodation or business relationships.

There have been a fair number of court cases about this already.
The Federal CRA does not prohibit discrimination based on sexuality but apparently some states do have such laws. If you run a business there's a non-zero chance you will be working with a number of people who do not share your political, religious or social values. And that's ok.