It is not. I have done musical theater...
Oh my God...

That definitely proves someone is not anti-gay.

Setting aside for a moment the incredible hypocrisy of saying a bakery can choose not to serve gay people but publishers can't choose not to publish white supremacists...
You cannot set-up your shop in the public square and deny service to members of the public. You know the street your bakery is on? Funded and maintained by taxpayers. The sidewalk your customers walk on and the street lights that guide them? Paid for by taxpayers. The police and firefighters who protect your store? Paid for by taxpayers. The systems that bring water and power to your store? The sewer system? Flood control mitigation? Paid for by taxpayers. ALL TAXPAYERS.
I would also be curious as to how many cakes that bakery has made for adulterers? Tax cheats? Child abusers? Are they running background checks on all their customers to be sure they're worthy of a cake?

This kind of nonsense is just more proof that religious zealots are not interested in religious freedom (which they already have), they're interested in forcing their religious beliefs on everyone else.
And when we reject that, they play the victim.