It’s actually illegal in the US to discriminate against certain customers at a place of public accommodation. The famous gay cake case that went to the Supreme Court ultimately went in favor of the baker, but on very narrow procedural grounds that his religion had been targeted in the case. In the opinion, the court affirmed states rights to make anti-discrimination laws generally.

I still don’t think anti-discrimination laws are the government forcing anyone to bake a cake. They’re saying if you want to bake cakes, you need to be prepared to serve everybody. No one is forcing them to open a bakery.