For the weapons you mentioned, the answer is no. The FAL mag actually has a small spacer built into it and it is longer, front to rear, than the M14 or AR10 magazine. If they were the right size, the ATF has ruled that you can only modify hi-cap mags if they will still fit in the original rifle. Since the FAL magazine rocks into the magwell the same way the M14 magazine does, if you changed the lugs to fit the M14, they souldn't fit the FAL any longer and you're screwed.
ASA has a .308 rifle that can use FAL mags because they made the receiver long enough for the extra length (front to rear) of the mazazine. Also, since the mag catch now works from one side, they have to cut a catch in the side. Not a problem, as the mag will still fit a FAL. Before you go this route, do a search on American Spirit Arms and check their reputation for quality and customer service.