Prepare pasta according to package directions, omitting salt and oil. Keep pasta warm.
Process red peppers and next 4 ingredients in a blender or food processor until smooth, scraping down sides. Pour mixture into a large skillet.
Cook over medium heat 5 minutes, stirring often, until thoroughly heated. Add shrimp, and cook, stirring occasionally, 2 to 3 minutes or until thoroughly heated. Remove from heat. Serve over hot cooked pasta. Sprinkle with basil. Garnish, if desired