So let's get together a BBTB ('Bring Back Tom Bombadil') movement and petition Peter Jackson to get him up off the cutting room floor.

There are many websites run and frequented by LOTR enthusiasts. If a movement such as you suggest had any support or possibility of being successful, it would have already been done. Plus, the filming is long done and I have a feeling Bombadil isn't even on the cutting room floor. He probably wasn't in the script at all considering how little he contributes to the story.