Again, no.

I don't care that you're an atheist. I don't care what you would or wouldn't do in a Muslim bakery. the law isn't for what people want to do, the law is for what people are required to do. This is something that is often lost: nobody wants to get an abortion. If you need one, you're in a black place in life. That black place is where laws happen.

You're crafting this idea where it's bad manners to do business with someone not of your creed. Sure. Know what? I'm the only white guy my barber cuts hair for and he does a damn fine job and we get along great. Did I seek out a barber in Westchester? Nope. But there was a nice lady there who left and me and Marty have been getting along for five years now.

Should Marty be allowed to refuse to cut my hair?

You keep throwing up these boundaries so that you can keep things in the nice, logical, friendly part of the discussion where you look sensible and rational and then throw up these ridiculously offensive objections that make anyone wanting the opposite look deprived. Again, it's beneath you.

If you needed a cake with "there is no God!" piped on it, and the only place you could get it was a Muslim bakery, the Muslim bakery cannot legally refuse to sell you a cake. Full stop. That's the law, has been for 50 years. How many cases of offensive atheist cakes can you think of? I'll wager "none." That's because nobody else would dream of asking for your hatecake, either...

...but it doesn't change the fact that your hatecake is legally protected.

This isn't about service. This is about equality under the law, and equal access in society.