Again, the NBA MVP has generally always been a "best player on a really fucking good team" award or flavor of the year award.
It's not a basketball WAR award.
The two generally go hand-in-hand. You need a solid team surrounding a top tier player in order to rack up wins, generally speaking.
However, when you have a team SO dominant like the Miami Heat, who would already be dominant even without their best player, it takes the best player on their team down a notch in terms of value to his team defined by regular season games won.
If LeBron James and Dwyane Wade have better seasons than Derrick Rose (as they did last year by most accounts), and they don't have a much higher winning percentage than the Bulls, it is safe to assume that Rose will have been more valuable to his respective team than Wade was to the Heat or James was to the Heat.
Bulls minus Rose = lower-seeded playoff team at best.
Heat minus James = probably the 1st or 2nd seed in the East.
Heat minus Wade = probably the 1st or 2nd seed in the East.