Yak 141.
The world's first Supersonic STOVL airplane. Do you recognize the engine layout? Basically the same as the F-35. This airplane never went into production.
What does all this have to do with the price of tea in China? It boils down to the fact that (and I hate having to admit this) STOVL capability and the airplanes that the USAF and USN need are totally incompatible. You can share avionics, engine cores etc...but sharing airframes is a step too far.
The F-35. American built, Russian inspired, never proven and an eventual failure. How do we know? Because even the daddy's of this design (the Russians) abandoned it.