Omar Bradley was promoted Brigadier General in Feb 1941 and took command of 82nd Infantry Div in Feb 1942 (at which point he was presumably promoted to major general??).
George Patton was a Major General when the war started, commanding 2nd Armored Div.
I can't find out exactly what rank Clark held in late 1941, however he attended General Staff School & the Army War College in the the 1930s and his first operational command was as deputy commander for Operation Torch. Prior to that he was a Lt Colonel in 1940 but promoted to Army Chief of Staff by early 1942! When war broke out he was assistant chief of staff (operations) for the US Army. This would seem to imply he was a Major General in 41/42 as he was later (1943) promoted Lt General to command Fifth Army, as well as having a talent for promoting his career
Cheers