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IIRC the SR-71 takes quite a long while to reach its top speed. At low level flight, the F-4 would probably hang with it for longer than one would think(when starting at a relatively low speed).
The F-4 has signigicantly better thrust to weight ratio, a better climb rate, and hits its top speed of mach 2.2 at half the altitude of the SR-71’s top speed altitude.
At high altitude, the F-4 probably gets spanked.