In a bowl, whisk gochujang, lemon-lime soda, miso, corn syrup, sesame oil, garlic, ginger, vinegar and sesame seeds until smooth. Set aside.
Bring a 4-qt saucepan of water to a boil and add sprouts. Cook until crisp tender (30 seconds). Transfer to a bowl of ice water, drain and dry with paper towels. Set aside.
Repeat procedure with spinach (squeeze out as much liquid as possible when draining). When finished, pour boiling water into a bowl and add mushrooms. Let soften for 30 minutes. Drain, remove stems, and slice 1/4 inch thick. Set aside.
Heat 1 tbsp canola oil and 1/2 tsp sesame oil in a 10 inch nonstick skillet over medium heat. Add 1 tsp garlic, 1/2 tsp ginger and mushrooms. Season with salt and pepper. Cook until hot (2 minutes). Transfer to a bowl. Set aside.
Repeat procedure, using same amounts of canola oil, sesame oil, garlic, and ginger with the gosari, squash, carrot and radish. Season each with salt and pepper. Set each aside in separate bowls and add 1/4 tsp sesame seeds to radishes.
Add 1 1/2 tsp garlic, 1/4 tsp sesame oil, salt, and pepper each to sprouts and spinach and stir well.
Heat remaining canola oil in skillet and add tofu. Cook, turning once, until browned (4-6 minutes). Transfer to a plate and cut each in half.
When ready to serve, place 1 cup rice each in center of 4 bowls, drizzle a little sesame oil over each mound of rice and top each with a fried egg. Place 1/4 of mushrooms in a mound in each bowl over the rice.
Working clockwise, arrange 1/4 each squash, carrot, radish, spinach, sprouts, gosari, chicory, and lettuce. Place tofu on lettuces and sprinkle with sesame seeds and scallions. Serve with sauce on the side.
Each diner should stir their bibimbap vigorously before eating. Bibimbap is considered Korean therapy food which makes sense given that the notion of food as medicine is a fundamental one in Korean cooking and the stirring helps to relieve stress.