"Why would an Me 410 conceivably be selected to escort anything against the US from Bermuda? (it absolutely could not get halfway across the Atlantic from Spain/Azores). I haven't read your operational scenario but why do we think that it would not be even worse for the 410 against the P-38/P-47/F4U/F6F/P-51 ?? over the US? FW 190 would be far better choice of escort and how do you supply Bermuda unless you have totally annihilated USN and all land based USAAF bombers, USN torpedo and dive bombers?"
As I said, it was alternative history, and quite wildly speculative. In this scenario, the Kriegsmarine and Luftwaffe had wiped the map of the USN and RN, putting them drastically on the defensive, with the two purpose-built KM carriers, and six carriers converted from cargo ships, Bismark, Tirpitz, et. al working together in concert to starve the UK of fuels and destroy their shipping. The hopped up and cleaned down Me-410 escort fighters were capable in my scenario of P-38-like performance, and only experten familiar with the type were selected for this mission, the purpose of which was to force the US to keep good combat groups on the east coast when they could have been used elsewhere. My scenario had over half the Me 410's destroyed in combat, along with a goodly number of the bombers, but He-who-ordered-such-dastardly-things thought it was worth it to bring home the war to the enemy. My scenario did have the KM carriers fielding the redoubtable Fw 190T-6, which was used to replace all other types of carrier aircraft in the KM. It was capable of interceptions, escort, dive-bombing, surface strike with either rockets, torpedos, or heavy cannon packs, and reconnaissance. Basic armament was two MG 13's in the engine cowling and two MG 151/20's in the wing-roots. Wings folded upward, and span was increased by approximately a meter. Landing gear was strengthened, as were other crucial components. By having all one type of aircraft on a carrier, spare parts and maintenance issues were extremely streamlined. Performance clean was in the Hellcat range, approx. 380 mph max speed. The single-seat escort Me 410's flying from Bermuda featured the same basic armament as the Fw 190T, and the bomb bay was fitted with a self-sealing fuel tank, as well as the space behind the pilot's seat previously used by the gunner.
The bombers, with range well exceeding 4,000 miles, took off from the Azores and met up with the escorts about 200 miles off shore before dawn, heading over the targets right around dawn. My scenario had interceptions, successful and unsuccessful, by P-38's, P-47's, P-63's, and P-61's.
All fanciful of course. I know it never could have happened. But I found it entertaining to suppose it might have.