Should my “Christian” bakery be forced to bake your “gay” cake?

# SHORT VERSION #
Should non-essential service providers be forced by law to serve people whose (perfectly legal) actions they morally disapprove of?
For example: should Christian bakers be considered to be in breach of the law if they refuse to bake a cake supporting gay marriage?
Let's discuss this online on Wed. 26th Jan. 20:00-21:00 (8-9pm).

# LONG VERSION #
Northern Ireland’s Gareth Lee has finally lost the last stage of his long-running case against (self-proclaimed) Christian-run Ashers bakery of Belfast, after they refused to make him a cake with the slogan "Support Gay Marriage".

(For further details, he won the first case in Belfast, won the first appeal there too, then lost in the supreme Court of the UK, and has just had his case dismissed in the European Court of Human Rights, on the technical grounds that he did not properly argue why this was a violation of his human rights)

But, regardless of the outcome, should a bakery be forced to bake a cake with a message they strongly disagree with? Does it (not) matter that a cake is not an essential good and there are multiple other places where Mr. Lee could have his cake made?

Similar discussions have come up elsewhere: should the Boy Scouts allow girls? Should the Freemasons allow women? (e.g., they do welcome women in France, but not in the USA). Should the law compel religious organisations to accept women and men on equal grounds?

Considering that nobody needs to be a Freemason or a Scout—at least not in the same way that we need to open a bank account, go to hospital, or ride the subway—is it wrong that such an organisation would choose not to allow women? Or is it just anachronic but otherwise irrelevant? Or is it perhaps a perfectly acceptable right that we should defend even if we wouldn’t impose such a restriction in our own club?
Must I allow the opinions of atheists in my Bible discussion group or those of religious conservatives in my gay dance club?

When does a selective choice about who we gather with in public turn into the bad kind of discrimination? And therefore: which of these choices should the law have a say in?

# WHEN & WHERE #
Wednesday 26th January. 20:00-21:00 (or thereabouts). Please feel free to join late, bring your dinner to the meeting, and maybe some rainbow cake (or not!) ;-)
Given the current state of the pandemic, let’s stay online again for now. Hopefully there will be better times soon to meet in person, or at least good enough weather to do it outdoors.

# WHAT TO READ/WATCH (if you wish) #
(+) BBC | Ashers 'gay cake' case: European court rules case inadmissible
https://www.bbc.com/news/uk-northern-ireland-59882444
(+) CNN | Girls can join the Boy Scouts now -- but not everyone is happy about it.
https://edition.cnn.com/2019/02/01/us/boy-scouts-girls-trnd/index.html

Please feel free to suggest other relevant texts or videos (preferably free ones) in the comments. On the other hand, you'll also be perfectly welcome if you don't read or watch any of the above and just join us on the day :-)

# RULES #
There are no unwelcome people or opinions here (other than intolerance itself). We are all kind to one another. We look forward to listening to what the others have to say, and we actively yet quietly do so. We assume that we all share the common goal of helping build a healthier, more prosperous planet and society—even if at times we may disagree about how to do that.