Language is powerful. I don't find anything trivial about literature, and poetry is not merely someone else's distant fantasy. Words can convey ideas, and a well written poem could (and probably has) inspire(d) change or expanded knowledge. Additionally, poetry connects people, as it allows us to relate to the thoughts and experiences of someone else through certain common aspects of our humanity.
I used to hate attempting to analyze/interpret poetry until a fantastic teacher taught me to do it properly and it changed my entire view. She showed me how poetry is not just open to "everybody's" flimsy interpretation of what it means, but there is a specific way to uncover more concrete meanings by creating a boundary using only what can be proven and pulled from the text itself.
Now I'm fascinated and amazed by the genius and creativity of poets. They have hidden amazing messages for us to find within words, like a hunt for treasure. There's a reason good poetry is published--it's not just a collection of nice sounding words. There is a lot of depth there, but you have to know how to find it. Even if you don't enjoy that analyzing/interpreting process, once you fully see how it works, I don't think you can help but appreciate it.