Cook soba noodles according to package directions. Drain, and rinse briefly under cool water to prevent clumping, and drain. Set aside.
Whisk together sesame seeds, soy sauce, honey, sesame oil, ginger, and minced garlic in a small bowl.
Heat a wok or large nonstick pan over medium-high heat. Add peanut oil and sliced garlic. Stir-fry until the garlic is fragrant, about 1 minute. Add the greens. Depending on the size of your wok, you may need to work in batches. Stir-fry 4 minutes, or until greens are wilted, any water clinging to the leaves has evaporated, and any stalks are crisp-tender. (If too much water collects, carefully spoon it out of the pan.)
Push the greens to one side, and add the mushrooms. Stir-fry 2 minutes. Add soy sauce mixture, and cooked noodles. Toss to coat, and cook about 1 minute to heat through. Serve immediately.