It may have not looked like a major undertaking for the U.S, but I can assure you it was for us Brits at the time. We were in the process of selling off major assets like Ships/Planes to India and other countries which had to be recalled for the conflict.
I reiterate.................. every unit had a QM, Army/RAF/NAVY and every unit would have had to impliment their WAR FOOTING quota for the numbers and assets under their command and demand delivery of all those assets from a number of key locations including Donnington where most of the BritishArmy keeps reserves of ALL stocks including at the time L42A1 rifles. Ammunition for instance, came from a number of European countries within NATO just to meet the ammo requirements....fact!
I am not sure why you keep pressing the need to find out the actual serial numbers of every rifle that went down south................are you writing a book, if so you will have to research that yourself, and I can assure you as I have already said, you will need every QM's actual list to achieve that, and you will be a very old man waiting for any replies?
In short there were over 100 x QM's from ALL services that I can count, so good luck with that, and I don't mean to sound facetious or arrogant, but thats the way it was.
You will pick up odd serial numbers from other books who detail specific weapons they are talking about like I did in my book, but trust me you are on a lost cause. Freedom of Information to MOD here won't have that information that far back to 82 and why should they, but somewhere in a dark corner Operation Corporate will have boxes that we would all like some answers from!!