Seems inefficient. Fossil Fuels work today because you just suck them out of the ground and ta-da! free energy when you burn it. If you have to pump enormous energy into harvesting the carbon so you can burn it and re-harvest it, why not just put that energy straight into the car and cut out the carbon entirely?

The battery is the thing that makes an electric car "expensive" today, but it's following a consistent downward price curve. In ~5-7 years, it will cost more to make an ICE car than an EV car, and then ICE dies. Simple as that.