How cool is that. I like everything about it. The presentation, the voice-acting, the game-mechanics and this totally absurd situation. You even can jump out and explore the whole city... as a penguin!
Only little problem was the movement, when carrying a baby. That felt somehow bit wrong. But not, sure, maybe that's how it's supposed to be, you are at least a penguin.
Imagine you continue on that, make it a multiplayer game, and we all meet there and throw babies around :-D