Badger, try tapco's SAW style pistol grip. I got one for the hell of it, and ended up loving it. Great item, and yes, at a different angle.
The ARMS mount for the FAL is also rock-solid and quite lo-profile. Especially compared to the M14 mounts, so since this was a voting thing: advantage FAL. Yea!
I have a general, vague distrust of the mounting to wood (or I guess Fiberglas) all around for the M14, so tend to things like the FAL.
The mag change on the M14 seems to be slightly better by default. The front lug being spring mounted gets you out of the rock-and-lock fumble; push harder and you are home. The FAL's release is closer, and offset, so I often hit it with the trigger finger, which speeds things up a lot. If you can't, take it apart and fix it.
As a weapon system its also, well, a weapon system. The M14 was, very soon after issuance, locked to semi-auto only. But the FAL was issued in several lengths, folding and not, heavy barrel SAWs, and so on. Seems to be more flexible.
The para sight on the FAL is much nicer than the issue "rifle" ones. Protected ears, better picture and so on. The aperature is not quite as fine as the M1/M14, but it has a flipover for quicker range changes, and the point blank one can be (is?) drilled out to ghost ring size, which is nice. The FAL front is too big (but it was easy to chop off and insert a new pin). Of course, the M1As/M14s I have seen are awful thick as issued also. Too thick for real riflery.
The new short M1As are very nice, otoh. And a hell of a light, slick and solid mounting platform for an LER scope or dot. A bit short for a combo PVS/dot, though. Too bad.
I tend to go FAL, but would not cry if someone stole it and replaced it with an identically accurate and reliable M1A and the same number of mags.