Linear range considerations in the tire-road contact restrict the potential of dynamic control designs of passenger vehicles, while strong nonlinear dynamics such as drifting are intrinsically dangerous. In this paper, based on the chassis with independent wheel drive/brake torque control, we propose a model-based strategy to exploit the potentials of all four tires in combined slips to elevate the cornering performance in critical maneuvers. The model-inversed results indicate that the maximal achievable steady-state (SS) yawing is larger than the widely-used boundary for control system design. Nonlinear dynamics around the created stable motions are further analyzed by plotting phase planes. With feedback control incorporated, the proposed strategy is verified in simulations for both local and global dynamics. The method also shows a distinctive availability of tuning different vehicles into desired driving characteristics and elevating their performance levels through independent powertrains.