Side question, why go through the trouble of turning the methanol into gasoline? Methanol burns and modern cars should be able to run on high grade methanol alone. They definitely can run on ethanol.
You get x-many joules of energy from combining each carbon atom with two oxygen atoms, then you have to capture that energy and turn it into useful work, but that is a lossy process. So even if your gaoline-from-air machine was 100% efficient you would still need to burn more carbon than it captures just to run the machine, so to make it run you need to supplement it with some other energy source.
If you already have an additional energy source with which you can run your gasoline machine then why make the gasoline at all? Just use the energy source you have directly in an electric car.