I think I got the dynamics in order. I noticed that by reducing the MOI on the car's yaw by at least "1000" seems to make the car straight out more after completing a turn. However such an adjustment seems to have a side effect. The the car just vibrates a bit when using the push-back feature. I also had to raise the rear wheel contacts a bit because the car seems to be heavy on the back side. I tried to reduce weight on the back or adjust the COG but the car keeps still weighs more on the rear. All sorted now. I just have to apply more animations like the parking brake and gear stick.