Mainstays of Moralism or Mavens of Mirth?

My new found suspicion that Belfast may be the secret Mecca of Merriment took a bit of a bashing yesterday when I encountered Exhibit A (Left) — a classic dance venue, the Floral Hall, looking even less inviting than some Churches I have encountered.

But soft! Soon afterwards I encountered Exhibit B (Right/ below) — Acorn Coach and Minibus Hire of County Antrim. Is a "Church Run" anything like what the Royal Navy calls a "Run Ashore"? Could you book a "Night Club Run" for a Church? Or a "Church Run" for a Night Club?