It is clear from this site and other research I've done that a P-38 could not have broken the sound barrier as my brother thought, though there were lots of claims, apparently, that it had or had come close.
I did learn, however, that in a dive wind did go supersonic over the upper wing surface of the P-38. Also, allegedly, its aerodynamics made it experience much worse compressibility problems than the P-47 or P-51 since many pilots, to their eternal dismay, learned that a P-38 could dive like a bullet all the way into the ground despite reaching denser air in which the 47 or 51 could recover.
As I read this, I remembered another conversation with my brother, albeit, imperfectly, I'm sure, in which he indicated that they were taught not to fight the controls in such a dive but, rather, to allow the plane to go inverted slightly or something of that nature.
I'm sure others here will understand and explain that better than I can. All I remember is that he mentioned the fear when trying to pull out only to have the plane fall back into the dive each time he pulled back on the control. I wish he were still alive so I could explore this more fully with him.