Heat coconut oil in a large, deep nonstick skillet over medium heat. Add onion, sweet potato, potato, parsnip, carrot, and turnip. Season with salt and black pepper. Cook, covered, stirring occasionally, until vegetables start to soften, about 15 minutes.

Heat a second nonstick skillet over medium-high heat. Add bratwurst sausage and cook, stirring occasionally, until browned, about 5 minutes. Add pastrami and chorizo and cook until heated through and flavors combine, about 10 minutes. Drain grease from the skillet.

Mix sausage mixture into the vegetables; season with salt and black pepper. Stir in sliced cabbage and chives; cook until cabbage starts to wilt, about 5 minutes. Add parsley and red pepper flakes; cook and stir until cabbage is soft and hash flavors are combined, about 5 minutes.

Stir green onions into hash. Top each serving with 1 tablespoon sour cream.