Dirk might not be the best comparison for Melo. He's one of those players that breaks the mould and transcends position. He's an odd Wing-Center thing, an anti-tweener. Versatile. His game is so different from normal convention that his coaching staff has always had to structure his supporting cast in strange and mysterious ways.
A strong comparison off the top of my head would be someone like Paul Pierce, a star and leading scorer on his team, but always outshone by a more athletic and more brilliant contemporary (Kobe).
From a sheer statistical perspective, I'd also compare Melo to Kevin Durant, though Durant seems to be outpacing Melo in awesomeness.
Alternatively, Basketball-Reference gives him some extremely interesting similar players, who I don't really see as all that similar...:
Shane Battier, John Havlicek, Jamal Wilkes, and Mehmet Okur.
But back on topic, the Linsanity lineup CAN win... but there are some obvious changes - we now have a functional Baron Davis, offensive-powerhouse JR Smith, Jorts, a semi-gimpy Anthony... and all we've lost is Bill Walker and JJ2.