PREPARE TOMATO-OLIVE MIXTURE: Cut tomatoes into chunks and place in a medium bowl. Add olives, basil, lemon zest and cheese.
MAKE MARINADE: In a small bowl, whisk vigorously olive oil, lemon juice, capers, garlic, chili flakes and salt. Add this marinade to the tomato-olive mixture. Set the mixture aside to marinate at room temperature while you boil the pasta.
MAKE PASTA: Put pasta into well-salted boiling water and cook as per package directions until al dente (with a slight firmness). Drain (do not rinse), reserving 1/4 cup of pasta liquid if needed.
ASSEMBLE AND SERVE: Put pasta and tomato mixture into the pot (not over the heat). Mix together, adding some of the pasta liquid - if needed - for a smooth consistency. Drizzle with a touch of olive oil. Adjust seasonings. Pour into a large shallow bowl and serve with a green salad and some crusty bread or slices of cured meats if desired.
Make Ahead: To make this pasta ahead, prepare the tomato-olive mixture and marinade a couple of hours ahead, then just before serving, make the pasta and tossed it all together.