I don't know Wide, I have achieved victory against some very good P-47M pilots in the P-51 at typical MA alts, simply by sticking to nose-to-tail turning with one notch of flaps deployed. The 51 just seems to come around on the Jug eventually. Rate is more important than radius, and its not really about who has the best rate clean and/or with full flaps, but who has the best sustained turn rate at the best flap setting for that particular plane.
Then there is the factor that while M-Jug performance is very good on WEP, a P-51 in the 8-10K alt band will be cruising at about 400mph, while the Jug at those alts will be cruising at well under that-thus a co-alt 51 tends to have the initial E advantage over a Jug when coming into icon range.
Overall, I give the P-51D the slight edge at typical MA alts, if for no other reason its performance is competitive for longer than 5 minutes at a time. In r/l of course, we all know pilots could and did operate the R-2800 engine at practically whatever power setting they required for as long needed. That would put a whole new complexion on the two planes.
Clean, they are very similar in turn radius and rate at low altitude. However, with full flaps, the P-47M has the edge with an 8% smaller turn radius and just about a 1 degree/second faster turn rate. Add to that, the P-47M is more stable nearer the limits at minimum turn radius.