I've been sitting here for two hours trying not to reply.
Dude, it's your bride's big day. Let her call the shots. I'd say no.
That said, one of my former airshow teammates got married at the Tullahoma, TN airshow in the Delta DC-3 in a rather impromptu service. Rob Reider, famed airshow announcer, also is a card carrying clergy member.. He led the ceremony.
Anyone ever seen a bride climb/walk the aisle of a Gooney Bird in the 3-point attitude? At least your church's aisle will likely slope down to the altar...