In a small bowl, whisk together soy sauce, ginger, honey, sesame oil, and Sriracha, if using; set aside.
In a large pot of boiling water, cook noodles according to package instructions; drain well.
Heat olive oil in a large skillet or wok over medium high heat. Add garlic, mushrooms, bell pepper and carrot. Cook, stirring frequently, until tender, about 3-4 minutes. Stir in snow peas and spinach until the spinach has wilted, about 2-3 minutes.
Stir in spaghetti and soy sauce mixture, and gently toss to combine.