It could be done. But it's not a matter of cleaned up visuals. It's finding what the expanded audience would like in an FPS.
A big one is to not over-complicate things. Limit it to the essential controls, and make them intuitive. These people are looking for a fun game with their friends or to relax after work. They don't need a tutorial telling them how to press all the buttons.
Personally, I would try with a TPS, in the mold of Flash Gordon or Buck Rogers comics (in the mold of, so I don't have yellow peril villains). And make it not take itself too seriously.
I would say the closest game I know to that are the Ratchet & Clank games, just that the controls and gameplay are still a lot to get into for the expanded audience.
A flashy-first game is awesome when it comes out. A great-first game is awesome forever.
Plus, just for the hell of it: Kelly Brook at the 2008 BAFTAs








