Preheat oven to 400 degrees. Line a rimmed baking sheet with parchment paper. Clean and slice all the mushrooms, place in the prepared roasting pan, toss all together with the 2 tablespoons olive oil, salt, pepper, and chile flakes (mixing thoroughly). Roast, stirring a few times, until golden brown, about 25 minutes.
Whisk together the remaining ¼ cup oil, aged balsamic vinegar, thyme, and parsley. Season with salt, pepper, and stir again. Reserve 3 tablespoons of the vinaigrette in a small bowl.
Add the warm roasted mushrooms to remaining vinaigrette (about 5 tablepoons), season with salt and pepper, and stir to combine. Let marinate at room temperature for at least 30 minutes.
Meanwhile, soak the quinoa in cold water for 10 minutes, then rinse the quinoa in a fine-mesh strainer under cold running water for 1 minute. Drain well. Transfer to a small saucepan. Add 1 cup cold water and 1 teaspoon salt (or use 1 cup chicken broth); cover and bring to a boil. Immediately reduce the heat to low; cook until quinoa is tender and water has evaporated, 10-15 minutes. Turn off heat and let stand for 10 minutes, without lifting the cover. Stir quinoa into the marinated mushrooms together with ¼-½ cup of the caramelized shallot marmalade and a splash of red wine vinegar.
Toss the greens with the reserved vinaigrette, shaved goat cheese, lemon zest, and a generous squirt of lemon juice (from ½ a lemon). Divide among 4 large plates. Top with the quinoa-mushroom salad. Garnish with remaining parsley leaves and serve.