I don't think the teams are that similar. The 2002 team sucked but overachieved by playing great defense. This team is so much more talented.
They are similar in that they rely on the outside shot falling more than your average contender. (Cleveland can always rely on Lebron to barrel through people on drives to the hoop. And the Lakers can always dump inside to Gasol or Bynum - note that Kobe is more of a jump shooter these days.)
And these Celts are going to need Pierce to deliver big time as a scorer, much like the 2002 team did.
However the defense on the current team is much better, the players are bigger and longer at almost all positions - especially the big men. This team also has to face much better competition than the 202 team did in the east.
I think Boston, Cleveland and Orlando are all much better than the Kidd/K-Mart Nets.
So, lots of similarities, lots of differences. But the bottom line is that the Celtics' perimeter shots need to fall in order to win.