In a small saucepan over medium bring the apple cider to a boil and reduce until about 2 tablespoons remain.
Let cool then in a medium mixing bowl whisk together the reduced cider with the cider vinegar, shallot, mustard, and olive oil. Season to taste with salt and pepper.
For the quinoa and kale salad:
Preheat the oven to 400ºF (200ºC). Toss the squash in the olive oil and spread in a single layer on an aluminum-foil lined baking sheet. Season with salt and pepper. Roast until the squash is tender and lightly golden brown, about 25 minutes.
Heat a medium saucepan over medium heat then add the quinoa and chicken stock. Bring to a boil then reduce the heat to medium-low and let simmer, stirring occasionally, until all the stock has been absorbed, about 15 minutes.
Fluff the quinoa with a fork.
In a large salad bowl toss together the squash, quinoa, and kale and set aside.
For the warm goat cheese:
Cut the goat cheese into ¼-inch medallions. Add the milk to one shallow bowl and the breadcrumbs to another shallow bowl.
Working one at a time, dip the goat cheese in the milk then press gently into the breadcrumbs to coat on both sides. Continue with the remaining goat cheese medallions and set aside.
Heat a medium sauté pan over medium heat, add the vegetable oil and heat through. Working a few at a time, fry the goat cheese until golden brown on both sides, about 5 minutes.
To serve:
Add the dressing to the salad and toss until evenly coated. Serve with the goat cheese on top.