Sounds like you are flowing with both bombers and money, UK just doesn’t have the money (30 vs 70) to oppose you as time goes on. If Moscow is down, and the Allies don’t have a chance of taking a VC, then you only need 1 more to win on that map, so whichever is easier to grab. If the allies seem ready to retake a VC in the next 3 turns, then the target has to be London in order to deliver the coup de grace and convince him to capitulate. But that’s really hard after Turn 8 because of Americans of all types garrisoning UK.
A lot of times, Japan brings in some stuff post-india and backdoors Africa–that plus Strategic Bombing just strips out UK income so while you are building up Germany transports hopefully under your at least 8 hit fleet, they are making effectively 15-20 and you have 70. Its just brutal. The units that won at Moscow plus the Eurogarrison can all be used as assault troops for late seelowe.
The problem with taking Cairo is that it sounded like the Axis aren’t able to amphibious across the med unless you start building that now, which is only 3-6 ships per turn. Going through turkey is another way but you may not have prepared for that or the neutral takeover to be done all at once. If the only way that German forces are headed to Cairo is through the ME, it’ll all depend on what spearhead was left after Moscow. if you have a fair sized stack of mobile units then its on the table. If only 1 tank survived, then rebuilding the armies thru those MiCs isn’t going to be fast enough.