Prep oven and dish. Heat oven to 350°F (177ºC) and grease a 9×13 baking dish.
Drain the tomatoes. Pour tomatoes (1 can) into a strainer and drain 3-4 minutes. Gently press once with a spoon, then toss with sugar (1/4 teaspoon). Set aside.
Cook the spaghetti. Bring 6 quarts of water to a rolling boil. Add 2 tablespoons of fine sea salt or table salt. Cook spaghetti (12 ounces) until just al dente according to package instructions. Drain but do not rinse. Dry out pasta pot and set aside.
Season the chicken. Toss chicken (3 cups) with salt (1/2 teaspoon), 1/2 teaspoon black pepper, and paprika (1/2 teaspoon), and set aside.
Sauté the vegetables. Melt butter (1/4 cup) in a large skillet over medium heat. Cook onion (1) and bell pepper (1/2 medium) until soft, about 5–7 minutes. Add garlic (4 cloves) and cook 30 seconds.
Bloom the spices. Add smoked paprika (1/2 teaspoon), onion powder (1 teaspoon), mustard (3/4 teaspoon), and the remaining 1/2 teaspoon of black pepper to the pan and cook about 20 seconds until fragrant.
Make the roux. Sprinkle flour (1/4 cup) over vegetables and bloomed spices and whisk until it forms a paste. Continue to cook for 2 minutes, whisking constantly.
Add liquids gradually. Slowly whisk in the chicken broth (2 1/2 cups) a little at a time until fully incorporated and smooth. Whisk in 2 cups half-and-half and 1/2 cup evaporated milk. Cook, stirring frequently, until the sauce thickens to a creamy, pourable consistency.
Melt cheeses gently. Stir in cream cheese (4 ounces) until smooth, then add 1 cup cheddar and 1 cup Pepper Jack over low heat.
Season the sauce. Add chicken base (1 1/2 teaspoons), Worcestershire sauce (1 teaspoon), Tabasco sauce (1/2 teaspoon), cayenne (if using) (1/8 teaspoon), and the drained tomatoes.
Combine pasta and chicken. Add the chicken and toss to coat. Return the drained pasta to the pasta pot. Pour the sauce with chicken to the pasta and toss until evenly coated.
Fill the baking dish. Transfer mixture to prepared dish and spread evenly.
Top for browning. Toss remaining cheddar and pepper jack over the casserole.
Bake. Bake uncovered 25–30 minutes until hot and bubbling around the edges.
Rest before serving. Let stand 10 minutes so the sauce sets and turns perfectly creamy. Sprinkle with fresh chopped parsley (1 tablespoon) then serve!