The stability and resiliency of standalone microgrids are critical for ensuring continuous power supply to local loads. However, imbalances caused by renewable energy sources and varying load conditions can adversely impact microgrid control systems. This paper proposes an enhanced control strategy integrating a consensus algorithm with a multivariable filter (MVF) to improve the resiliency of standalone microgrid under unbalanced conditions. The consensus algorithm, as the secondary control loop, helps achieve distributed control among different microgrid assets, including distributed generation (DG) units. The multivariable filter further strengthens the primary control loop by separating the positive and negative sequence components in a simple yet effective way. By, implementing the proposed primary control loop, voltage imbalance is compensated. Also, voltage and frequency are restored to their predetermined values through consensus-based secondary control. This way, the maneuverability of the control system can be significantly improved in severe circumstances. Finally, simulation case studies performed on a typical standalone microgrid model verify the ability of the proposed strategy to maintain voltage and frequency stability and achieve accurate power sharing between sources during unbalanced load conditions. The results demonstrate the effectiveness of the integrated control scheme in enhancing resiliency against imbalances and voltage and frequency deviations.