Isn't the moral of the story here to file a police report when you get stuff stolen? That way on the off chance the stuff turns up somewhere, you can get the police on your side in getting it back.
I've never registered a bike with the police, but I always photograph my bikes, just because I like to have pictures of them all. It's a good idea too for theft reasons. if something is stolen, a picture with the police report will go a long way if the bike is ever recovered.