AFAIK, their war lay primarily in the Pacific, and beyond supporting the Brits and Russians materially, I’m not really sure why the US would want to involve themselves physically in the European theatre. I do feel fear of Germans beating them to the bomb might have something to do with it, but that’s just conjecture.
I wasn't aware of their involvement in the Allied occupation of Japan, that's interesting. I'll add it to my list of things to learn about