Wait and see though, is what I say.
The key point about the Idaho ministers is this: "The Hitching Post has apparently in the past operated as a for-profit business and offered civil services as well as religious ceremonies. Earlier this month, it either became a religious organization or decided to present itself as such. If the Knapps are operating and plan to continue operating the Hitching Post as a religious organiztion, they have no reason to fear prosecution from the city."
http://www.telegraph.co.uk/news/worldnews/europe/denmark/931...
If the church has a problem with this, it should divorce the state.
In neighbouring Sweden, church and state separated in the year 2000, so when same-sex marriage was finally made legal in 2010, this was simply not an issue. The Church of Sweden can deny same-sex marriages on its premises and by its staff if it so chooses.