In a large skillet, heat the oil (4 turns of the pan) over medium heat. Add the anchovies, cover the pan with a splatter screen or lid, and shake until the anchovies begin to break up. Reduce the heat a bit, uncover, and stir until the anchovies melt into the oil. Add the garlic and chiles and stir for 2 minutes. Add the vermouth.
Add the cherry tomatoes to the skillet, then add the olives and capers. Add the basil and simmer over medium-low heat for 20 minutes to break down the tomatoes. Add chicken stock if liquid gets too low.
To serve, cook 1 pound pasta to al dente. Drain, reserving 1 cup of the cooking water. Toss together the sauce, starchy water, parsley, Parmesan and pasta.