Add all ingredients to a glass jar, cover tightly with a lid, and shake vigorously to combine.
Salad
Line two rimmed baking sheets with 2 layers of paper towels and set aside. Spiralize or shave the zucchini and set on the paper towel lined pans to drain while you prep other ingredients.
Quarter the tomatoes and add to a medium bowl. Slice the onion into thin half moons and add to the bowl. Cut the cucumber in half vertically and again lengthwise, then slice into thin half moons.
Halve the olives, slice the pepper into thin strips, and roughly chop the artichoke hearts. Add all to the bowl with other vegetables.
Gently squeeze zoodles between dry paper towels and add to a separate large bowl. Toss with Greek dressing. Arrange vegetables on top of zoodles in pattern, or toss everything together to combine.
Arrange portions in a bowl or on plates, top each with a dollop of pesto and sprinkle with crumbled feta. Serve immediately.