Cut the squash vertically down the center and use a spoon to scrape out the seeds. Cut the squash into 2-inch pieces or half-moons. Put on a large baking sheet and toss to combine with the Brussels sprouts, pumpkin seeds, olive oil, turnips, carrots and some salt and pepper.
Roast the vegetables, stirring once, until caramelized and tender, about 30 minutes. Test for doneness with the tip of a sharp knife; it should go through the vegetables easily. Transfer to a large serving platter, drizzle with the Balsamic Vinaigrette and garnish with the parsley, currants and goat cheese.
In a medium bowl, whisk together the oil, vinegar, mustard, garlic and salt and pepper to taste until completely combined.