Love how you applied the theme here, with each perspective mirroring the other. It was an effective way to demonstrate how alike two superficially different people can be.
It was a little disorienting, though, having each point-of-view written as a single paragraph. It wasn't clear initially that you were changing points of view. You might consider breaking up those paragraphs for easier reading, and then adding some other typographical cue (a horizontal line, or three stars, or similar) to indicate the change in point of view.
I like that the story ended with mutual understanding; it could have gone either way! The hopeful ending was nicely done.