Will the tank and fenders off a 01 FXD fit an 04 carbed FXD?

 

no. The tank was upgraded in 04 for fuel injection. Even though you have a carb, your tank is also made to fit FI. It is a differnent tank in length and has different mounting locations welded into it. You can make it work, but you have to modify the tank. Also I believe the 01 had a less wide rear fender as well.