Find a small, wide-mouth canning jar or small glass vase (3 1/2 inches in diameter by 4 inches high), just large enough to hold the two goat cheeses on top of each other with a little room to spare. Cut each cheese in half horizontally, making 2 rounds from each. (A piece of dental floss makes this easier.)
Place half of the first disk flat in the jar, sprinkle with salt and pepper, then with 1/2 teaspoon dill, 1 teaspoon basil, and a few red pepper flakes, and drizzle with 1/2 tablespoon olive oil. Place another disk of cheese on top and repeat the seasonings, herbs, and oil. Continue with the remaining cheese disks, piling one on top of the other with oil and seasonings in between. When all the disks are stacked and seasoned, drizzle 1 tablespoon of olive oil on top. Cover and set aside at room temperature for one hour or refrigerate for up to 24 hours. Serve at room temperature with bread or crackers for people to help themselves.