Wow!
Wow!
Funnily enough I believe the SR-71 has the opposite problem, where the engines would merrily go above Mach 3.5 with no issue but the airframe and everything attached to it would get torn apart by the intense heat if the pilot tried to go any faster
Additionally, there's the Mach Cone. The shock wave off the nose forms a cone shape, with the angle determined by the speed of the aircraft. From the nose to the wingtip forms an angle of about 17.5 degrees, which corresponds well with the max speed from the CIT of Mach 3.3.
That both methods of determining max speed agree shouldn't be surprising. Skunk Works was filled with good engineers.
The airframe, however, will get bent from temperature and you better hope the missile cooling loops don't fail.
The power isn't dialed down at lower speeds in order to provide thrust for maneuvering and climb.