I would like to suggest some tiny syntactical changes to your poem. All I need For a good conversation. Flowers, Jagged opinions Flow from my mouth like a bathroom faucet. In the dark, though, Amongst geometrically designed hallways, The company of a single warm body Can freeze my lips Turn a thousand words Into One. What I've done, mostly, is delete auxiliary verbs and a couple of connectives for a tighter structure.
Sentence fragments are okay and can actually carry more impact.
Please let me know if this makes sense to you. Dear Dave, Your poem sounds very professional, like one from a book. I cannot say I like it a lot. It seems like one you would find in a poetry magazine, or one that people could relate to. I think you have done a great job.