Make the bruschetta. If you haven't already, make Bruschetta.
Bring a large pot of water to a rapid boil, then season generously with Kosher salt. Add the pasta and cook according to package directions until al dente. Before draining, reserve about ½-1 cup of pasta cooking water.
Heat olive oil in a large deep skillet over medium-high heat. When hot, add cubed chicken thighs, then season with dried oregano, Kosher salt, and black pepper. Cook, stirring occasionally, until fully cooked through.
Add the drained pasta to the skillet, then stir in goat cheese, mascarpone cheese and reserved pasta water. Toss well. Add all except for ½ cup of the tomato bruschetta and julienned basil leaves, then give the pasta a final stir. Taste and adjust seasoning as needed.
Transfer the pasta to a large serving bowl, then top with remaining bruschetta. Drizzle with balsamic vinegar, then garnish with additional fresh basil and grated Parmesan. Serve immediately!