ORIGINAL: Bullwinkle58
Maybe, but the politics were complicated. The idea of the Allies wasn't fully solidified in 1942. Certainly not like it was by the summer of 1945 when the UN was formed. To Americans in 1942, Oz might as well as been the moon, and while lots of US divisions were forming and training, there wasn't a surplus by any means, especially of armor. The US public would have needed to be sold hard to send a fair portion of "their" defenses to the other side of the globe. FDR was beloved, but he knew he also had to run for reelection in 1944.
Then there's the British Empire pride factor. I'm not in a great position to judge that, but I can see Winnie figuring North Africa wasn't going anywhere and could wait if Oz was threatened with conquest and slave labor camps. I think Andy Mac got it about right. However, there's no denying htat a Japanese invasion of Oz, or India, or Hawaii would have changed the course of the ETO war. There's no way around it.
As it is all speculative , what would truly happen in such an event is unknown. I would wholy agree that additional US forces for India would be less likely with the proviso that Roosevelt was strongly commited to keeping China in the war. So while there was cetainly an anti-imperial sentiment in the US, there was still a serious commitment to CBI.
Churchill and FDR had a pretty good relationship. I cannot feel that an impassioned plea from his friend might move Roosevelt. As to the halfway around the world point, the US was already sending huge quantities of men and material to the SoPac, NZ, and Oz. We are not talking about robbing the US homeland defnese but instead robbing the ETO. By late 1942, the US had gotten well beyond the point of "invasion" panic that gripped the populace in the frist few months of the war. The US Army was gearing up for action in the Med by mid year. The Operation Torch OOB included 5 ID, 2 Arm Div, please a para RGT. Thats more combat force for one operation than was sent to the Pacific until 1944 as far as the Army goes. My point being that if times were desperate in the Pacific that the US was truly the only Allied power that had forces to spare
"We have met the enemy and they are ours" - Commodore O.H. Perry