Alice Springs Chicken

Name: Alice Springs Chicken
Ingredients: 8 slices bacon; 2 pounds chicken breasts (two chicken breasts, sliced in half lengthwise through the middle, for 4 pieces of chicken); 1 cup honey mustard dressing (divided); 1 tablespoon unsalted butter; 1 tablespoon olive oil; 8 ounces sliced baby bella mushrooms; 1 tablespoon soy sauce (or 1 teaspoon salt); ¼ cup vegetable broth (or chicken broth); 1 teaspoon minced garlic cloves; 1 teaspoon dried thyme leaves; 1 teaspoon black pepper (divided); ½ teaspoon salt; 1 cup monterey jack cheese (shredded); 1 cup cheddar cheese (shredded)