Preheat oven to 375. Lightly coat a 12 cup muffin tin with nonstick spray; set aside.
In a large bowl, combine flour, cornmeal, baking soda and salt.
In a large glass measuring cup or another bowl, whisk together buttermilk, butter, sugar, eggs and honey. Pour mixture over dry ingredients and stir using a rubber spatula just until moist. Add jalapenos and cheese, and gently toss to combine.
Scoop the batter evenly into the muffin tray. Place into oven and bake for 15 - 17 minutes, or until a tester inserted in the center comes out clean.