Preheat oven to 400ºF.
Prepare the cornbread according to package directions then fold in the corn kernels and spicy brown mustard. Butter or spray a 8x8 baking dish and pour in the mixture. Transfer to oven and bake according to the back of the box. Remove from oven and cut into chunks.
Once you have the cornbread working, start the chili: Heat a large, high-sided pot over medium-high heat with about 2 tablespoons EVOO, two turns of the pan. Add the chopped-up dogs and cook, stirring every now and then until lightly browned, 2-3 minutes. Remove and reserve the browned dogs.