Custom Richie Ditta Track Bike, Eddie Merckx Corsa, Marioni Custom Pista, Dolan Cyclocross
The old style badges are generally designed to be riveted on, but they can be attached by any number of means.
A lot also depends on how that Fuji badge is attached to the head tube. If its riveted on then you need to be sure that the new badge will cover the old rivet holes otherwise its just going to look messy.
With that said to do it right, you would need to find someone who could drill your headtube to match the hole pattern of the badge and then find someone who could attach the new badge with rivets/screws. I would think long and hard about this as its going to be more expensive than you'd wish.