Electric bike

[Fazerider]

Burning gas in a power station is cleaner, and using it to subsequently power a motor car is more efficient.

I accept it's cleaner, but it's not much more efficient.
Generation and transmission losses mean only about 33% of the energy in the gas appears as electricity by the time it reaches the end user. On top of that you have battery efficiency of about 80% and a motor efficiency of about 90%... overall that gets the figure below 24% efficiency, compared with about 20% for a petrol engine.
Electric vehicles can result in less CO2 being emitted, but that's more through a reduction in performance than anything else. The main advantage is an improvement in air quality in cities because the fumes are emitted elsewhere.