Whisk together soy sauce, soju, red pepper paste, red pepper powder, sugar, scallions, onion, garlic and ginger in a large bowl.
Add pork and stir to coat. Cover and let the pork marinate at room temperature for 20 to 30 minutes.
Heat oil in a large nonstick skillet over high heat. Add pork with all of its marinade. Cook, stirring now and then, until beginning to caramelize, about two minutes.
Add the carrot, shiitakes, chile pepper and snap peas and another drop or two of oil if it is sticking to the pan. Continue to stir until the pork is cooked through and the vegetables are just tender, three to four minutes. Serve with rice.