The whole point of hybrid cars are the fact that you're only on the throttle periodically. You start, stop, speed up, slow down all the time (especially in S. Florida!). Normally when you're slowing down, you're burning off the energy as heat (friction from the brakes), etc. Adding an electric motor/generator to this allows you to recapture energy that is normally wasted slowing back down, so it can be reused to re-accelerate back up to speed. This is why hybrids (unlike non-hybrid cars) get better fuel mileage in town than on the freeway.
Aircraft, on the other hand, are at full-throttle on takeoff, and close to 3/4 throttle during the vast majority of the flight. There is no slowdown to recoup the energy until coming in for a landing. @beloch has already done the math showing the electric range would be downright miniscule, so there's very, very little to be gained here.
Until we have some utterly astounding advances in battery (or more likely, supercapacitor) tech (probably via graphene), this won't really be a cost-effective solution.
However, this would be an absolutely incredible motor for electric car conversions. Imagine a pair of these (each powering an axle)... it would be considerably more powerful than even the Tesla Model S P85D.