Spend some money and hire some military historian, preferably specialized in WWII, or more specific Italy - Monte Cassino. I can assure you, they are a lot of them and more cheaper that any of those " seasoned reenactment specialists", or just spend some time researching, something like: List of United States divisions during World War II (on a very common website), and see that 5th Infantry Division, was nowhere Italy, ever, or that badge is also a fantasy, like parts of the uniforms, or the way they carry the rifle, just to name a few.
