Preheat your oven to 400°F (200°C) and grease a 9-inch cast-iron skillet or baking dish.
In a large mixing bowl, combine the cornmeal, flour, baking powder, salt, and cayenne pepper if using. Whisk these dry ingredients together until well incorporated.
In another bowl, whisk together the eggs, buttermilk, vegetable oil, and honey until smooth.
Pour the wet ingredients into the dry ingredients and stir until just combined. Be careful not to overmix; a few lumps are okay.
Gently fold in the grated cheddar cheese and diced jalapeños until evenly distributed.
Pour the batter into the prepared skillet or baking dish, smoothing out the top with a spatula.
Bake for about 20-25 minutes, or until the cornbread is golden brown and a toothpick inserted in the center comes out clean.
Remove from the oven and allow the cornbread to cool for a few minutes before slicing into wedges.
Notes
Serve warm with extra honey and garnish with jalapeños or cilantro.