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You can't get energy for free, as noted by others above.
That said, you can save some energy otherwise wasted. I don't know if you'd have a net improvement or not, but suspect not.
That said, let's look at tweaking your idea: Instead of using intake air from off to the sides, how about using intake air where it's best, i.e., at the highest pressure stagnation point of flow at the nose centerline. Now, let's release that air back into the slipstream where pressure is lowest, i.e., maybe 1' back from the nose on the forward surface of the hood, or at the known low pressure zones on the sides just forward of the front wheels. Look at any fast fish mouth and gill placement, and you'll get the idea--inflow at highest pressure point and outflow at lowest pressure points. So, take a tuna and lie it on its side, add faired wheels, and now you have probably the world's most streamlined car.
Back to your ducted windmill idea: If you put the ducted windmill in an efficient duct that goes from highest pressure nose stagnation point to lowest pressure hood or fender or undertray point, then you can extract the most through-flow energy to turn the fan. Whether this makes more electrical juice at less cost than running the belt-driven alternator remains to be seen. Maybe, using little fans like in computers and installing them in the ducting, you'd get trickle flow of juice to top off the battery. Or not.
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