Can the government compel you to provide someone a service against your will?

[Philippus Flavius Homovallumus]

No, same-sex marriage is not legal in the state. It was a "commitment ceremony".

Missed that.

Then the judges are technically wrong, and the case should be overturned on appeal because it sets bad precedent, that a "similar" situation is the same as an "equivalent" one.

I.E. That a non-legal ceremony is the same as a legal one.