Inverter-dominated isolated/islanded microgrids (IDIMGs) lack infinite buses and have low inertia, resulting in higher sensitivity to disturbances and reduced stability compared to grid-tied systems. Enhancing the resilience of IDIMGs can be achieved by maximizing the system loadability and/or mitigating the expected disturbances such as line switching operations. This paper proposes a two-stage framework based on the deployment of mobile energy storage (MES) to enhance the resilience of IDIMGs. In the first stage, the network configuration and deployment of MES are optimized to maximize the system loadability. The proposed formulation for this stage is a stochastic multi-period mixed-integer nonlinear program (MINLP) that maximizes a weighted sum of minimax loadabilities. In the second stage, transitional locations of MES, line-exchange execution sequence, and droop control of dispatchable sources are jointly optimized to mitigate line-switching disturbances that occur when transitioning to the new network configuration obtained in the first stage. The second stage model is a multi-objective MINLP. The proposed models are solved within the general algebraic modeling system (GAMS), utilizing a modified IEEE 33-bus system. Simulations are conducted to assess the significance of each proposed model, and the results reveal remarkable improvements in system loadability with the utilization of the first-stage model and significant reductions in the total switched power with the adoption of the second-stage model.