This is a poem called "Hearts."
Which is not exactly a love poem.
And the idiot that it refers to is Dostoevsky's The Idiot.
"After we've played a noble scene, where no one is blamed,
and each takes the guilt for not loving enough,
you would think we would break up then and there.
We feel so fine and mature toward each other,
we could cry on the couch like The Idiot,
in sympathy for everyone's point of view.
But after we've played our noble scene,
the empathy generates so much lust,
that unfortunately we patch it up.
And two weeks later, the real cutthroat stuff begins."