Welding systems including a hydraulically driven welding power supply adapted to utilize hydraulic primary power to generate a first welding output for a first welding operation and a second welding output for a second welding operation are provided. Such welding systems may include control circuitry coupled to the hydraulically driven welding power supply and adapted to enable the hydraulically driven welding power supply to provide the first welding output and the second welding output at the same time to enable a first welding operator and a second welding operator to perform the first welding operation and the second welding operation, respectively, at the same time.