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Actually, it's more accurate to state that, given some rotational acceleration, more massive wheels take more energy to change their rotational momentum than less massive wheels do.
In other words, you'll use more gas if you speed up with the heavier wheels than if you used the lighter wheels, if you sped up at the same acceleration in both cases. Also, your brakes would work harder to slow down the heavier wheels than the lighter wheels, if you braked at the same deceleration in both cases.
Conversely, if you used the same amount of throttle to accelerate, the car with heavier wheels would take longer to get to speed. If you used the same amount of braking force, the car with heaver wheels would take longer to slow down.
Classical physics in action.
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