While tofu is being pressed, preheat oven to 350 degrees F. Spray cookie sheet with nonstick spray. In a Ziploc bag, combine cornmeal, cornstarch, salt & pepper.
Cut tofu into 1/2 inch cubes and put in bowl. Pour olive oil over tofu and toss to coat. Add tofu to Ziploc bag in 2 separate batches, and lightly shake to coat evenly. Place tofu on cookie sheet, (not touching each other) and bake for 15 minutes, then flip and bake for another 10 minutes (or until crispy). Remove from oven.
While tofu is baking, heat olive oil in sauté pan over medium-high heat. Add onions and sauté for 2 minutes, then add in peppers and mushrooms with 1/4 teaspoon salt. Sauté for 8–10 minutes, until vegetables are softened, set aside
Whisk all dressing ingredients together and toss with noodles.
Serve noodles with vegetables and crispy tofu.