Might be the fault of the art style. That said, I shudder to think what a realistic Alfe would thus look like.
The "three halves" thing is pretty obviously meant as a joke.
So, in the pilot, guy with ice cream factory is trying to blow it up. It's also revealed that he's making mind-controlling ice cream... why are they trying to prevent him from destroying the factory?
"The Mayan Ice Cream Caper" expands on the pilot episode and reveals that it was a case of Nice Job Breaking It, Hero. It probably didn't help that Horace was under the influence of the mind control ice cream.