F-4 vs F-104

What did the F-4 have over the F-104 that made it a better ac. After all they both had the J-79 engine(s). One had a gun, stubby thin wings and a T tail, while the other had no gun, bent wings and a tail that looked like it was falling off. Other than the second seat and maybe some updated electronics, why was one a much better plane then the other.

dave