To prepare pesto, place pistachios and garlic in a food processor; process until minced. Add basil, cheese, salt and pepper; process until finely minced. With processor on, slowly pour oil through food chute; process until well blended. Reserve 1/2 cup for salad; spoon remaining 1 cup pesto into a zip-top plastic bag; store in refrigerator.
To prepare salad, combine all ingredients in a bowl; toss well. Serve at room temperature or chilled.