Line a 2 1/2-cup mold or bowl with plastic wrap, leaving a 1" overhang around edges. Set aside.
Beat cheeses at medium speed of an electric mixer until creamy; set aside. Combine basil and next 3 ingredients in container of an electric blender; add 2 cloves garlic. Cover and process until smooth, stopping once to scrape down sides; remove from blender, and set aside.
Combine tomatoes and remaining garlic clove in container of electric blender; process until smooth.
Spoon one-third of cream cheese mixture into prepared mold, spreading evenly; spread with basil mixture. Spoon one-third of cream cheese mixture over basil mixture, spreading evenly; spread with tomato mixture. Spread remaining cream cheese mixture over tomato mixture. Cover and chill at least 4 hours.
Unmold pâté onto a serving platter; peel off plastic wrap. Serve with baguette slices or assorted crackers.