Truth be told, and not meaning to be indellicate, "What the heck's gotten into you?" That post of yours was rather haughty in a way. I don't think we have a right to boast about any sort of higher intellectual quality we may have.
Anyhow, sorry if I've offended you there. Now for the response to your question. I don't believe that such an engine would do poetry any justice, but rather degrade it. Allowing computers to infiltrate into something which is only human, namely poetry and its appreciation, would do human dignity a severe injustice. It would also destroy much of what a poem was meant to convey.
I mean, your own poetry is a good example. If we were to apply your hypothetical engine to your poetry, which is much more abstract at times, the result would be either extremely humourous or else simply random jibberish.
The computer would also have to possess the qualities of artificial intelligence, so as to emulate the way in which an educated human would analyze a poem. But even then the computer would still be prone to mistakes.
So, I believe that a computer program for the purpose of interpreting poetry would be very degrading to poetry, reducing it to nothing more than some slightly higher form of human comunication and language, rather than a conveyance of something which echoes through the human soul[assuming you believe that that exists] and the individual, conveying emotions.
"If history is to change, let it change. If the world is to be destroyed, so be it. If my fate is to die, I must simply laugh"