Hi
Just recorded a video about how to animate a car. You will see how to drive a car on 3d Viewport in real time. How to use mouse for steering. This method don’t use BGE - use Rigid Body and ready to download python script. Enjoy.
Final scene https://drive.google.com/file/d/0B101nEQ77ftbY004dzQ0SVpNWHM/view
Script https://drive.google.com/file/d/0B101nEQ77ftbVFBqUjNWWEF2X28/view