Slice eggplant into 1-inch thick rounds and drizzle with olive oil on both sides. Sprinkle with salt. Grill eggplant for about 1-2 mins each side. Remove from heat and cut into cubes. Set aside.
In a sauté pan on medium-high heat, add olive oil, canned tomatoes, garlic, oregano, chiles, salt and pepper. Bring to a simmer, continuously stirring to prevent sticking, about 10 minutes. Add eggplant and cook for another 3 minutes. Remove from heat and add chopped parsley and chopped heirloom tomato.
While sauce is simmering, cook pasta in rapidly boiling, heavily salted water. Drain, reserving some cooking liquid, and add pasta into sauce with a tablespoon of pasta water. Cook over low until pasta is coated, adding more pasta water if necessary to thin sauce. Remove from heat and serve. Garnish with fresh parsley and crumbled ricotta salata.