Warmth oven to 425°F. On monumental rimmed baking sheet, throw onion, potatoes, poblano, and garlic with oil and 1/4 teaspoon every salt and pepper. Orchestrate in even layer and meal till sensible brown and delicate, 25 to half-hour.
Whereas greens prepare dinner, warmth large nonstick skillet on medium. Add chorizo and prepare dinner, separating into little items, till seared and contemporary round edges, 5 to six minutes; transfer to bowl. Add eggs to skillet and prepare dinner to wished doneness, 3 to 4 minutes for marginally runny yolks. Throw chorizo with greens, then dissipate with Cheddar. Get again to range to liquefy if mandatory. Current with eggs and tortillas every time wished.