In a large skillet, melt the coconut oil over high heat until hot. Sear each steak for 5 minutes per side then transfer to a baking dish. Bake for 10 minutes or until there is a thin pink strip in the middle of each steak. Remove steaks from the oven; allow them to cool then diagonally cut them into thin strips.
Prepare dressing: To a food processor, add next 6 ingredients (salt and pepper through olive oil); blend until smooth.
Arrange greens and sliced turnips on dinner plates; top with steak strips then drizzle with dressing.