Oh yes of course, thrust is a huge factor. The only reason why the Me262, Me163 and P-38 outturn a lot of lightly-wingloaded planes is because they have that huge thrust factor (and good flaps in the P-38's case) allowing them to turn with a better rate than many of the lighter-wingloaded planes.
But, for planes like the Mustang vs Spitfire, the designs are quite conventional and thrust, though a large factor, is probably not more of a deciding factor than the wingloadings. Sorry HiTech. I should be more specific. What I meant by the Mustang turning better under circumstances was that the Mustang had a better horizontal turn rate than the Spitfire under certain circumstances whether the turn be instantaneous or sustained.
Also a bit of clarification, the P-47 and P-38 dive flaps were not slowing down the plane in in order to pull them out of shock stalls.. They were not dive brakes, they were dive flaps. They changed the pressure of the air under the wing in such a way that lift would be regained.