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A gallon of gas may deliver 33.7 kWh worth of energy, but most of that is transferred to heat and goes out of the tailpipe. More heat is lost through the radiator.
So only about 8 kWh is available to power the alternator belt - assuming 75% efficiency in that; only 6 kWh of electricity can be had from that gallon.
If you remove the belt and obtain 6 kWh worth of electricity (over time, at 200/300 W per hour) to power the 12V system from the battery and you lose 50% in charging that, you'd still need just 12 kWh from the mains.
That's a gallon saved for, what's your rate, a dollar and a half at 12.5 cents per kWh?
Well worth it!
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2011 Honda Insight + HID, LEDs, tiny PV panel, extra brake pad return springs, neutral wheel alignment, 44/42 PSI (air), PHEV light (inop), tightened wheel nut.
  lifetime FE over 0.2 Gigameter or 0.13 Megamile.
For confirmation go to people just like you.
For education go to people unlike yourself.
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