Vietnamese Bistro Burger

Name: Vietnamese Bistro Burger
Ingredients: 1 1/2 cups julienned daikon; 1 1/2 cups julienned carrot; 3/4 cup distilled white vinegar; 3/4 cup sugar; 2 pounds ground pork; 6 cloves garlic, minced; 2 jalapeno chiles, seeded and diced; 1 tablespoon minced ginger; 2 tablespoons Vietnamese fish sauce (nuoc nam); 2 tablespoons soy sauce; 1 tablespoon Chinese five-spice powder; 2 tablespoons sugar; 1 lime, zested and juiced; 2 to 3 tablespoons vegetable oil, for brushing the grill rack; 6 good quality sesame-seed kaiser rolls, split; 6 tablespoons salted butter, softened; 6 tablespoons mayonnaise; 6 tablespoons spreadable pork or liver pate; 1/2 English cucumber, peeled and thinly sliced; 2 jalapeno chiles, thinly sliced; 18 fresh cilantro sprigs