In a medium bowl, use a fork to mash the cream cheese and goat cheese until combined. Mix in the sun-dried tomatoes, spinach, basil and garlic. Season with salt and pepper.
To assemble the pinwheels, spread a heaping teaspoon of the cheese mixture onto each zucchini slice. Starting at one end, roll the zucchini towards the other end. Place the pinwheels upright on a serving tray.