Begin by Pickling the Vegetables: Place each vegetable in their own bowl. Sprinkle with the salt and let sit ten minutes. Squeeze out any liquid. Stir in the rice vinegar and sugar.
Next, make the Kimchi Fried Rice: In a three-quart saucepan, bring a cup and a half of water to a boil. Add the rice and half a teaspoon of kosher salt. Cover and simmer for 16 minutes. Then, remove from the heat and let sit, covered, for ten minutes. While the rice cooks, melt 3 tablespoons of the butter in a skillet. Add the onions and cook on low heat until they're soft about 10 minutes. Add one tablespoon of the garlic and cook one minute. Add the cooked rice, soy sauce, kimchi, and a tablespoon of sugar. Stir to combine. Push the rice to the side of the pan and crack in the egg to the middle of the pan. Stir the egg until it's no longer runny. Stir the egg into the rice. Add the scallions and black pepper.
Next make the Lime-Sweet Chili Sauce: In a second skillet melt the other 3 tablespoons of butter on low heat. Add the other tablespoon of garlic and cook for one minute. Add the sweet chili sauce, honey, lime juice, and red pepper flakes and bring to a simmer. Set aside and cover to keep warm.
Then make the Salmon: Heat a grill pan on medium heat, and brush with vegetable oil. Season the salmon with a quarter teaspoon of salt and pepper. Grill the salmon on both sides for about four minutes per side, or until cooked through.
To Assemble the Bowls: Place some rice in each bowl and top with salmon and pickled veggies.