An island microgrid is formed when the microgrids are disconnected from the grid in an extreme scenario. Thus the sustainability and reliability of power supply for critical loads in microgrids faces great challenges. The participation of electric vehicle (EV) energy storage in load support within the microgrid cluster is an effective technical means to enhance system resilience. Therefore, addressing the issue of power supply for island microgrids, a two-stage resilience enhancement strategy based on EV energy storage is proposed. First, an energy management model is established for normal operation, aiming to minimize operating costs by coordinating various power generation resources within the system for energy exchange. Second, in response to the issue of sustained and reliable power supply for isolated microgrids caused by extreme typhoon events, a two-stage resilience improvement model for a multi-microgrid is constructed by using various power generation resources and electric vehicle energy storage to achieve energy exchange. This model minimizes load shedding and optimizes system operating costs. Finally, the Shapley value is used to allocate the emerging benefits reasonably, and the effectiveness of the proposed resilience improvement strategy is verified by comparing it with traditional multi-microgrid energy management methods.