So they have no defense, no ability to post up, and not enough outside shooting. Sounds about right. For a team with three of the biggest stars in the NBA, the Heat are surprisingly poorly constructed. They're basically built around constantly attacking the basket. Maybe it'll work, but I also wouldn't be surprised if they just wind up getting in each other's way on offense, and egos eventually cause one of the "big three" to get traded. By comparison, Boston's big three was much more carefully thought out and better constructed... they all had different strengths.
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Imagine a Heat lineup of PG: Lebron James, SG: Wade, SF: Miller, PF: Bosh, C: Anthony. Brooks will not be able to guard lebron or wade, so he will probably have to guard miller who's role will be simply to shoot the spot up three.