The two ends of the car do very different things. People who claim that all four should be the same model are wrong, IMO.
That said, I wouldn't put the Star Spec at the top of your list. Look at the Kumho XS or Hankook RS-3 if you want real all-out performance as they're both faster than the quickly aging Dunlop. Bridgestone RE-11 is the best no-compromise tire for daily driving though; both the Kumho and Hankook aren't great in the wet.