So Basically you'd say that he could track down Kira faster and pretty much smash his face in.
Which would be interesting to see Batman smashing through Light Yagami's window right as he's writing Batman's name in the death note and he beats the crap out of Light Yagami before he can complete the sentance he was writing.... Light Yagami - Wikipedia, the free encyclopedia
That'd actually be cool as Hell,Death Note...Batman Style...Light Yagami Killing the Joker through the Death Note......and many other villains in Arkham Asylum.
However just think:Batman is just the Persona that Bruce Wayne Assumes when he puts on the Cape and Cowl.
So actually Bruce Wayne would be safe until he put on that cowl and whatever Light Wrote in for Bats's death would happen right then.
Since Everyone seems to think that Batman and Bruce Wayne are 2 separate individuals...