This is the song Gilbert Gottfried was making fun of on Wife Swap. It is definitely cheesy (even for the 80's)...
As for the Wife Swap episode itself, I thought Gilbert was going to be too annoying to even watch. Especially since I watched it this morning (probably not the best way to start a day). But him and his family ended up being the best part of the episode. You just know someone's already out there thinking about giving the Gottfried's a reality show of their own now.