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I think you misunderstand Ohm's law. The resistance of a conductor doesn't change with current (neglecting effects of temperature changes, and that's avoided by selecting an appropriate motor so the current doesn't cause appreciable heating). Resistance converts a fixed percentage of the energy in the current to heat.
As for losses in lead-acid batteries, that's another artifact of the technology. If your electric car stores its energy in capacitors, high speed flywheels, or even batteries with a different chemistry, you aren't going to see those losses. Build an electric car with the right technology, and you can have good acceleration with no loss in energy efficiency.
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