I've done two wheel physics and it does work, but it can't be used as the force feedback would need to be coded differently and we would all need very strong and latency free force feedback handlebars to control it.
To turn a bike left you push on the left handlebar, initially this turns the handlebars right (Cog goes left though) but as the force builds up this goes back to the left and your angle of turn is determined buy how much force you are applying to the handle bars.
This is not a linear relationship and that force varies with speed and all the other dynamics on a bike and indeed can reverse.
A bike is required to lean to turn but you DO NOT lean a bike to turn.
Body weight is moved on a bike to alter the CoG but predominately it is to make sure you are in the right position to maintain those forces on the handlebars.
You DO NOT lean/hang down off a bike, you lean/hang out perpendicular to the bike, which happens to be down as the bike is leaning.