berger is right... but even swapping right to the clutch basket is not enough because the crank and counterbalancer gears are also part of the problem.
However, all the parts ARE the same with one exception... the inner freewheel hub on the sprag gear (800-248-01 is the part number for an 01 I think, but please verify that from the parts list).
So, bottom line... use the parts from the 03 in your 01, but make sure you get a new inner freewheel hub.
The problem is the gear pitch, it is slightly different starting in 03. I have run the parts combination you are talking about and it actually will work.. but it will make a ridiculously loud whining noise because of the differences in the gear cuts.