What is interesting to think off is Vanguard, will there be a concentrated effort to complete her sooner, is it even possible to do so?
Why? The RN needs the crews for her mighty carrier fleet. You don't build a BB just because she's beautiful.
Ramp-Rat said:
At the same time the Americans will be looking to Liberate the Philippines, and rescue the POW’s if they can. They will for reasons of national pride want to do as much of this as they can without direct allied involvement. It wouldn’t look good to the home audience if they were seen to rely on others to do the job for them. Not that they are in any position now, or for the foreseeable future to do this without assistance from the British and Australians, if only in the provision of base facilities to operate from. The big question is do the chose the long or the short route, which is Australia via all the islands in-between or Singapore Borneo, and then ether work their way up or head for the main prize Luzon?
The other allies will be about as interested in getting involved in a liberation of the Philippines as the Americans would in taking FIC. And for all the reasons you stipulate (plus the Australians having a cow at the very idea) the Americans want to retake the Philippines entirely on their own. Sometimes I wonder if FDR was just playing with Nimitz and MacArthur as to which option he would approve (Formosa v. Luzon).

1944 was an election year, and while Roosevelt's victory was never in doubt, he wanted broad coattails.
Ramp-Rat said:
We are now in a very different world to the one we know, and events now can and will take a very different course to the ones we are used to. In Europe might we see an allied landing in France in 1943, given the improvement in shipping and thus better supply situation?(1) Could it be that the British and Americans end up shaking hands with their Russian allies in Poland not Germany? (2) Might G Patton get his wish to be the one to take Berlin, or might he be diverted into Austria and Czechoslovakia?(3)
Despite improved logistics, there is the little matter of the Heer's not having it's back broken yet at Kursk. In 1942 the Allies will still be fighting for Air Superiority. Without breaking the Luftwaffe, there is no going across the Channel in force. Without the USSR breaking the offensive power of the Heer in 1943 there is no breaking out of any established bridgeheads in France. With the Allies ITTL so tied up with the Japanese, and the Americans only just having begun to mobilize, the British Army alone just doesn't have the mojo to do more than what Winston OTL described as "nibbling away" on the Germans.
Depending on what
Astrodragon (*yoo-hoo!*) decides to do, it'll have to be the Central Mediterranean where the Allies will challenge Hitler in 1942. Otherwise, they risk having him pull what he did at Kursk. Namely, pulling back and throwing everything he has against the British.

He can't launch any grand offensives, but he certainly has the means in 1942 to stop the British cold.

It all depends on how much he would sacrifice in Russia. A slight pull back at Leningrad? Less armor thrown at the Caucasus, and more at Stalingrad? Thinning the lines in the center?
In 1943? I fear a stalemate, until the Soviets can bleed the Germans more.
2) As the Normandy Campaign and the Ardennes showed, Hitler was always more than willing to sacrifice space in the East to send more forces to stabilize the West. It's not like it makes any difference to him whether the bullets that riddle his body come from a burp gun or a grease gun.
3) At this point in time, Drew Pearson notwithstanding, Patton is likely to emerge an Army Group commander, not an Army commander. So it's not going to be him doing any direct assaults on the city, IF the Supreme Allied Commander (whoever he might be) is willing to expend the 100,000 lives to be lost taking the city. OTL, had the troops been sent forward (assuming no other changes) it would have been Simpson's US 9th Army that would have had to do the deed. OTL, it was Hodges' US 1st Army that got the call for Czechoslovakia and Patton's US 3rd Army and Patch's US 7th Army that got sent to Bavaria and Austria.