Saute onion and carrot in oil about 5 minutes. Stir in the garlic, chile and lime zest, then add the eggplant, zucchini or squash. 1- to 20 minutes.
Cook noodles and reserved some of the cooking water.
Whisk together the coconut milk, peanut butter sugar or honey and soy sauce. Add the coconut mixture and noodles to the skillet with pepper, taste and adjust the seasoning. Serve hot garnished with cilantro and lime wedges.