In a large bowl, whisk 2 cups of the buttermilk with the hot sauce and soy sauce. Add the trimmed chicken livers and turn to coat. Cover and refrigerate overnight.

Make aioli sauce; refrigerate.

Set a rack over a baking sheet. Spread 1 ½ cups of the flour in a shallow bowl. In another shallow bowl, beat the eggs with the remaining 1 ½ cups of buttermilk. In a third shallow bowl, mix the remaining 1 ½ cups of flour, the cayenne, black pepper, and garlic salt.

Remove the livers from the buttermilk, then dredge them in the plain flour. Dip the livers in the egg mixture, then dredge in the seasoned flour. Transfer to the rack.

In a large saucepan, heat 2 inches of oil to 350°. Set another rack over a rimmed baking sheet. Add half of the livers to the hot oil and fry over moderately high heat, turning once, until barely pink inside, 3 to 5 minutes. Transfer to the clean rack and season lightly with salt. Repeat with the remaining livers. Serve hot, with Spicy Sriracha Aioli