What you're saying is nonsense. How is the desire to have something drawn for you all that different from the desire to have a website created for you? It's essentially the same.
Because producing an image of Muhammad is an explicit prohibition in Islam. Providing services to same-sex couples is not a prohibition in Christianity.
> Because producing an image of Muhammad is an explicit prohibition in Islam. Providing services to same-sex couples is not a prohibition in Christianity.
Is a distinction like that even relevant? I don't think the US court system is going to wade into determining who is correctly practicing their religion or not. That itself would be a glaring First Amendment violation.