Bring a pot of water to a boil, salt it, add the pasta and cook until al dente. Drain, reserving 1/2 cup pasta water.
While the pasta is working, in a large, deep skillet, heat 1 tbsp. EVOO over medium-high heat. Crumble in the sausage and cook until browned. Transfer to a plate. Add another 1 tbsp. EVOO to the drippings. Add the mushrooms and cook until browned, 10 to 12 minutes. Deglaze the pan with the sherry (or marsala) and season with the thyme, salt and pepper; transfer to a plate.
Add the remaining 2 tbsp. EVOO to the skillet. Stir in the pancetta and cook until browned, 3 minutes. Stir in the garlic and lots of pepper for 2 minutes. Stir in the wine and cook to reduce for a minute. Add the sausage and mushrooms. Remove from the heat.
In a small bowl, beat the egg yolks with half of the reserved pasta water to temper. Add the drained pasta to the skillet and pour the tempered eggs on top. Add the cheese and parsley and toss vigorously for 2 minutes, adding more pasta water if necessary to smooth the consistency. Serve in shallow bowls and top with more cheese.