On what grounds do you accuse this baker of being bigoted and anti-gay?
The bakers believe in the traditional meaning of marriage, that is all.
You are making baseless assumptions about them which they adamantly deny.

They are not baseless. The judge found them guilty of discrimination. That is an act of bigotry. Whether you agree with the judges ruling or not is irrelevant. The accusation id far from groundless. It is proven in a court of law. What is so difficult about that?