Place 1½ jars of the salsa in a food processor, and blend until smooth. Pour into a high walled skillet and add the basil, oregano and remaining salsa. Bring to a simmer.
Slowly whisk in the heavy whipping cream and bring back to a simmer. Cook for 20 minutes whisking often. Turn off the heat and add the vodka, stirring well
Place the prepared pasta in a large bowl. Pour sauce over pasta and toss. Sprinkle shredded Parmesan cheese and serve.
