The sad thing about the Heat making it to the finals is that the idea that the Heat can beat the Bulls and possible the Mavs or the Thunder to take home the ring is completely antithetical to the entire concept of team basketball. In the Heat, you don't have a great team - you have 3 great individual players (Bosh, Wade, James) who can basically as a trio account for 70 pts in one game and 3 triple doubles if they play at their best; and if any one of them has an outstanding game, it's pretty much impossible to stand up to. But it doesn't require the whole team play well.
I'm far from a LeBron/Heat fan, but even I find this argument weird. It sounds like your complaint is against the Heat having the same 2-3 players take the majority of the shots and therefore, score the majority of the points.
Every team in the league is set up this way. Every team has 1-2 and sometimes 3, guys who take the most shots every game. This doesn't mean they're not playing team ball, it means that everyone has a role, whether it is taking 20 shots a game and hitting at or around 50% of them, or simply spending 10 minutes on the floor boxing out one guy.
Not playing "team ball" would mean that guys are stepping out of their roles - the rebounders are shooting, the passer is doing more dribbling than passing, the defender is looking for his shot..etc. Teams don't get to the Finals not playing team ball.
The difference with the Heat is that their numbers 1 and 2 scorers are future Hall of Famers and their third is also considered a pretty accomplished pro. (the Lakers are similar with Kobe and arguably, Pau, and Lamar)
Anyway, my point is that the Heat's big 3 scoring 70 points a game is not that unusual. But how many times have you seen an NBA team with just 70 points. The role players have to chip in 20-25 points and EVERYONE has to play defense.
Indeed, the very reason the Heat have gotten this far is because they have been playing great "team ball".