Place a tomato slice on each of 4 plates. Season with salt and pepper. Top with a slice of cheese and repeat to make 3 layers, like a Napoleon with 3 tomato slices and 2 slices of cheese. Drizzle with the Green Chile-Cilantro Oil and Chipotle Vinegar and serve.;
Green Chile-Cilantro Oil:
Combine all ingredients in a blender and blend for 5 minutes.