I dropped the kids at the baby sitter's, went straight to Target and bought a Poop Cave, aka, litter box. The Poop Cave has been installed and we hope that the Kitty gets the idea. The kids introduced Kitty to the Poop Cave, in their typical smothering fashion.
After we rescued Kitty from the kids and ushered them away, King Daddy looked at me lovingly and said, "How did we get here?!!"
UPDATE: 8:47 pm - Good Kitty! He used the litter box! It worked, it worked!! YEAH!! Wait, who cleans the litter box?