There is a strong misconseption that switiching to a bubble canopy caused instability in the P-51D / K. Not so .... really.
There were a NUMBER of culprits:
1. Changing from the Allison to the Merlin resulted in considerably more area forward of the CG when they fitted the larger, 4-bladed propeller.
2. They ALSO put in the fuselage tank, and THAT moved the CG backward while simultaneously having more blade area forward of the CG. They were looking for solutions to that when they went to the P-51D and the bubble canopy. The dorsal fin extension helped cure the problem in the P-51D and it was retrofitted not only to many P-51D and K models that were originally shipped without it, but also to many P-51B and C models that also were originally shipped without the doral fin extension.
The main cuplrits were the new prop for the Merlin and teh fuselage tank; the bubble canopy was minor in comparision to the first two.
Here is a drawing of a famous P-51B WITH the dorsal fine xtension:
http://information2share.files.wordpress.com/2011/06/north-american-p51-b-mustang.jpg