What is the place of poetry in the LDS market? Is there any hope of selling a poetry collection to any publisher? If so, what kind of poetry would be of interest?
Poetry is a hard sell in any market, unless your last name happens to be Dickinson or Frost or . . . Even Carol Lynn Pearson, the LDS poet, doesn't sell much poetry.
The only way you're going to sell a book of poetry to an LDS publisher is if it's a gift book, a children's picture book, or part of an anthology (like Especially for Mormons)—but even those are tough sells.
I'd suggest sending your poems to magazines. The Ensign and New Era publish poems. There are also lots of Christian magazines looking for poetry. Check the 2008 Writer's Market.