In a medium bowl, whisk together the large eggs, egg whites, sea salt, and black pepper until the mixture is uniform and slightly frothy.
Heat a non-stick skillet over medium-low heat and add the ghee, swirling to coat the bottom of the pan completely.
Pour the egg mixture into the skillet and let it sit undisturbed for about 30 seconds until the edges just begin to set.
Using a silicone spatula, gently push the eggs from the edges toward the center, creating large, soft curds.
When the eggs are about 75% cooked and still look wet, fold in the cottage cheese and half of the chopped chives.
Continue to cook for another 30-60 seconds, stirring gently, until the cottage cheese is warmed through and the eggs are set but still creamy.
Toast the sourdough bread until it is golden brown and crisp.
Transfer the scrambled eggs to a plate alongside the toast and garnish with the remaining fresh chives.