Unroll pizza dough, and press into bottom of a greased 13- x 9- x 2-inch pan. Set aside.
Position knife blade in food processor bowl; add basil, 1/2 cup Parmesan cheese, 1/3 cup walnuts, and garlic. Process 1 minute or until smooth, scraping sides of processor bowl once. With processor running, pour olive oil through food chute in a slow, steady stream until combined.
Spread basil mixture over pizza dough, leaving a 1/2-inch border on all sides. Sprinkle with mozzarella cheese, turkey, red pepper, artichoke, remaining 1/4 cup Parmesan cheese, and remaining 1/3 cup walnuts. Bake, uncovered, at 425° for 30 minutes or until crust is golden and cheese melts. Cut into 18 rectangles.