The Italian fleet sorties against Salerno

What if the Italian Navy had the fuel to sortie against the Allied landings at Salerno?

The fleet is judged to have had the fuel, but a sortie required political cohesion and was expected to fare badly against the Allied covering force.

The immediate obstacle to a sortie was Italy's political disintegration after Mussolini's removal. A coherent order to attack would send the fleet, which still had fuel, toward a joint Anglo-American covering force between it and the landing ships. Submarines, fleet carriers and battleships would all be available to oppose it, alongside land-based aircraft. A battle combining those forces with the amphibious assault is imagined as a major wartime encounter, but the Italian fleet is expected to fare badly.