I think there is a bit of confusion here. The P-51 always had a directional (yaw) stability issue at least as far back as the B model. The problem became worse with the reduced keel area on the bubbletop (D/K) models.
It was originally believed that the loss of the turtledeck on the P-51D-5 was the problem. It was not. The first dorsal fin was installed on 44-13902 in the last stage of the P-51D-5 block, running through end of production for all Mustangs - but the kits were developed and installed on all operational P-51B/C's in the field to assist with reducing yaw issues at high speed... and did as you say, help but not solve
The solution to DIRECTIONAL stability was the fin fillet. This improved things but didn't really completely solve the problem.
The Partial/incomplete 'solution' to yaw stability was the addition of the dorsal fillet. The real issue was structural failure of the empennage in asymmetrical flight conditions like slow rolls, snap rolls and dive recovery. The 51 also had to have the airframe and horizontal stabilizer strengthened, reverse rudder trim boost and metal elevators - all partial solution improvements to adverse impact to the airframe for asymmetrical flight conditions
The fuselage fuel tank didn't really add to the directional stability problem. The aft CoG condition resulted in a LONGITUDINAL stability issue. In other words, with even a partially filled fuselage tank, the aircraft would tend to wander a bit vertically.
These are two separate problems.
- Ivan.