Not that I hate gas powered cars or anything but I have often wondered what if...
Here is my idea, make a electric car that has four motors, one for each wheel directly attached to it. Now you avoid the need for a mechanical steering system because the wheels would change speed depending on which way you were turning. Or turn on itself if you wanted to, one side forward, the other side in reverse like a tank.
Now I might be missing something obvious here, like oh maybe it will handle like ****. I don't know.