Besides the actual reading in class of many poems, I would suggest you do two things: first, while teaching everything you can and keeping free of it, teach that poetry is a mode of discourse that differs from logical exposition.
“Every day I'm trying to be more humble and how do you do that? I guess, every day, we have mass. Every day, I pray the rosary. That's what I do.”
“The spiritual element, the really important part of religion, has no concern with Time and Space, temporary mundane laws, or conduct.”