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Hi 07aveoSVM,
The engine rotating parts are 10 times heavier than that pulley. You won't be able to measure the difference between an over sized pulley and an under sized one in the amount of power the engine needs just to spin.
But anyway your main electrical load will be your engine electronics, and brake lights as needed. Assuming you don't drive at night. If you get LED brake lamps you can reduce that load by about 80% The engine, gauges and other incidentals might need 10 to 20 amps. A car battery has a reserve capacity (RC) rating, which is how many minutes it will deliver 25 amps before it is so run down it probably won't start the engine. RC is in the range of 80 to 100 minutes mostly. So you could probably run the engine for 3 or 4 hours. Assuming newish good battery with a full charge. Charging time with the alternator will probably be about the same as discharging time. The alternator will deliver a very large initial charge, but that will taper off quickly to 10 or so amps and the battery will take a few hours of that.
But but but, I don't see what you are saving. Unless you charge the battery from the grid...
-mort
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