I have one of each and the L1A1 is actually a Century Arms gun built with L1A1 parts. The few times I fired it I had a lot of jams. It also seems a little long and clunky. I'll stick with the M1A.The correct firearm to go with your Ferret would be a British L1A1 SLR. As far as I'm concerned (not looking to start a fight) the FAL/ L1A1 is a superior rifle over the M14.
I guess I am prejudice as I went through Army basic training with an M14 and used one for a few years in the National Guard before they took them away and gave us M16A1s. I am sure this prejudice was based on the fact that I had fired an M1 rifle before I ever fired the M14 and it was just similar enough that I felt at home with it. Also the first time I fired a rifle for record I made expert with the M14. On the other hand they are terrible on full auto but I understand the FAL is no better.