Hachis a la Turque

Name: Hachis a la Turque
Ingredients: 8 ounces butter, divided; 3 tablespoons olive oil, divided; 4 sprigs fresh thyme; 6 medium yellow onions; salt (to taste); 5 large sweet potatoes, cut in 1/4 inch slices; 5 large russet potatoes, cut in 1/4 inch slices; 3 garlic cloves, minced; 1/2 pound ground pork; 1/2 pound ground beef; pepper (to taste); 1 small red pepper, diced; 1 1/2 teaspoons herbes de Provence/ Provence herbs (dried); 1/4+1/8 teaspoons ground cinnamon, divided; 1/4 teaspoon ground cumin; 1/8-1/4 teaspoons hot chili pepper flakes; 1/4 cup toasted pine nuts; 1/4 cup fresh parsley, chopped; 1 egg, beaten; 1/2 cup heavy cream; 1-2 tablespoons low sodium chicken broth; 8 ounces goat cheese crumbles; 1 cup swiss cheese, gratted; 1/2 cup shaved (or shredded) parmesan; 3/4 cup roasted and unsalted pistachio nut meat, ground to a coarse grind; 1/4 teaspoon dried sweet basil; 1/4 teaspoon garlic powder