The following link may be of interest:

http://www.business.gov.au/info/plan-and-start/start-your-business/what-is-customer-service/refusing-service

NathanJ,

I can see that it's going to be a complete waste of time continuing this.

My argument is based on political and legal theory, and philosophical considerations, not emotion or what the law actually states. None of what you have said addresses anything I have said, and some of it studiously sidesteps it with irrelevancies.

Again, I suggest you study jurisprudence and social contract theory if you want to argue for a libertarian perspective beyond a simplistic and literal understanding of what it means for a business to be "private".

//OK, they're not anything but a Catholic couple who believe in multiculturism and the Pope's call for brotherhood with Muslims.//

Then I'm sure they'll be quite understanding when the Muslim politely declines on the basis of his faith, but wishes them all the best for their upcoming nuptials and refers them to the local competition. And being Catholic I suspect they'll probably feel a bit guilty about leaving the store empty handed when he has been so polite and helpful, and buy something before they leave. So everybody wins. Isn't that nice? See, the world doesn't always have to be about conflict and unkindness.

//No, because that would simply be a case of demanding a product that is not on sale, to anyone.//

No it wouldn't. In this hypothetical bakery, the baker is quite happy to make gluten-free cakes for people who have a genuine gluten intolerance. So it is on sale to some people. Just not trendy pricks.

//And even according to the existing non-discrimination regime, nobody is obliged to provide you with "Spock" dolls unless they provide them to others.//

Not a doll, a cake. Cakes are edible. Dolls are made of plastic. And we prefer the term 'action figurine'. Anyway, it's my cake, isn't it? Don't I get to say how I want it decorated? If your hypothetical baker doesn't do Spock cakes, that's fine. I'm quite prepared to take my hypothetical business to a different hypothetical bakery. That's the nice thing about hypothetical bakeries: there's no shortage of competition. Hypothetically, there can be an infinite number of bakeries that do Spock cakes. So I'll just hypothetically go to one them.

//Now please stay on the topic.//

Shan't :P

Bearded man walks in " Please may I have a delicious non-gluten cake?"
"Are you disabled , wrinkly or from a race?"
"No"
"Sorry , no cake"
"But I'm Muslim"
"Sorry, no cake"
"And gay"
"$4.50 thank you sir".

//Bearded man walks in//

Hipster beard or non-hipster beard?

Because I'm hypothetically installing an elaborate system involving CCTV, the latest in beard recognition software and automatic laser turrets at the entrance to my hypothetical bakery to keep those buggers out. Oh, and also people with terrorist beards. And people with goatees, but that last one kind of goes without saying.

I still need to figure out something to do about female hipsters, but hopefully once a few of their male counterparts have been vaporised on the threshold the bakery will get a reputation as 'the shop that kills hipsters' and they'll learn to avoid it.

All purely hypothetical, of course.