In a medium mixing bowl, combine the carrots with the next 6 ingredients. Season to taste with salt and pepper; refrigerate for at least 2 hours to marinate.
Mix the goat cheese in a small bowl to loosen and season to taste with salt and pepper.
Preheat broiler. Slice bread into 1⁄2-inch-thick slices; drizzle with olive oil, sprinkle with salt and pepper and broil until toasted on one side.
Spread the goat cheese over the toasted bread, top with pickled carrots.