The rig they are using is modeling only wheel movements, not proper suspension setups. Can it model how a Fiat500 will lift a rear tire in a sharp corner? You cannot do that with such a low center of gravity.
I've seen Formula SAE cars do that. You can indeed make that happen. In that car it could be as simple as reducing the front spring rates and softening the shocks while putting a stiffer roll bar in the rear.