Looks like a great name for a church on the Outer Banks. The first song that came to my mind was the Chad Mitchell Trio's "Mighty Day" . . .But I suppose the Mighty Wind song is sort of like the old Spirit is a-Movin' during the Jesus Freak days of the 1970s.
You need to see the movie, A Mighty Wind, which is a spoof of folks singers, yet endearing. Also Waiting for Guffman and Best in Show are movies with the same cast. Funny stuff.