I really like the acting analogy. I think it works with something like "The Great Silkie."

However, it it important to remember that religious songs are INTENDED to be expressions of belief. In this case they are are much more like creeds/professions of faith than scripts.

So, if, as a non-Christian, you don't have a problem singing, e.g., "What a Friend We Have in Jesus", would you have a problem reciting, e.g., the Nicene Creed.