First of all, F4 engine is a turbojet engine. This is not a matter of what speed engines can handle. That is more complex subject which needs airframe design to be taken in to consideration too.But doesn’t the engine designed atm already handle a speed close to what F-4 engines handle. So the difference up to super sonic would require huge heat resistance from the materials.
I know we can’t directly compare thrust with speed. But arouns wht speed would TF6K be able to handle on something lile Hurjet ?
To answer your question; NO! TF10K is not at the same thrust level as the J-79 engine powering F4 planes. J-79, develops just under 120000lbf dry thrust with nearly 18000lbf in wet. In other words twice more powerful as TF6K/TF10K
F4 engine too, when pushing the plane to supersonic speeds, would have to use divergent nozzles.
To fly Hurjet, we would need two of the TF10K engines installed.