Preheat the oven to 450 degrees . On a large baking sheet, dress the mushrooms, garlic and thyme with 1/4 cup EVOO and spread out. Roast the mushrooms for 20 minutes, then remove from the oven and season with sea salt and pepper.
Meanwhile, in a pot, combine the sweet potatoes and enough water to cover. Bring to a boil, season with sea salt and cook until fork-tender, 15 minutes. Drain and return to the pot, then mash with the stock and milk (or half-and-half). Season with sea salt, pepper, the paprika and hot sauce. Stir in the cheddar until melted.
While the potatoes are working, in a bowl, toss the kale with the remaining 1 tablespoon EVOO and season with sea salt, pepper and a few grates of fresh nutmeg. Arrange on a rack set over a baking sheet and roast until crisp at the edges, 10 to 12 minutes.
Combine the mushrooms and garlic with the kale and serve on a bed of the sweet potatoes.