Me personally? It's a piece of history. Don't mess with it. Just maintain it well, shoot it, enjoy it, but don't modify it in any way that isn't quickly and easily reversible.
I have my dad's WW2 sidearm - a 1943 Ithaca 1911A1. It's got about 95% of its finish. Somewhere along the way in its USMC career, one of the grip-screw bushings got stripped in the frame, so you can thread the grip screw into the bushing, but the bushing turns free in the frame. It has an "idiot mark". The bore has significant pitting for the 1/2" back from the muzzle. The only things I've done to it are to add an 18 lb recoil spring and a polymer buffer pad on the guide rod. I did those things to protect the gun when I shoot it using modern ammunition, because once in a while, I do take it to the range and shoot it. But I still have the original recoil spring, and I can remove the buffer pad and reinstall the original spring to return the pistol to "as issued" condition; and I've resisted all temptation to do something like cerakoting it, rebarreling it, etc. Whenever I'm tempted to tart it up, I remember what the man who carried it before me had to endure, and it just doesn't seem right.........and yet there were MANY more WW1/WW2 era 1911s manufactured than your little FN. So my personal opinion is predicated along the lines of "will refinishing your gun, and replacing the stocks, somehow disconnect you from your dad's memory"? Replacing the stocks is a reversible modification, as long as you keep the originals. But refinishing the gun is a whole other animal. Once you do it, the original finish is gone for good. So tread lightly.
That 1911 is one of two firearms I keep in honor of my dad, the other being a 1943 vintage Inland M1 carbine like the one he carried ashore at Iwo Jima. I am sometimes temped to tart up the M1 too. I've thought of adding a hand guard with a scout rail so I can mount a red dot sight on it, and maybe swapping out the stock for a "paratrooper" model with the folding buttstock — both of which modifications would make it an ideal little "truck gun". But the little gem means too much to me in its original form, so I keep it as is.
You might find this video informative and entertaining. The pistol is a Beretta instead of an FN, but it is from the same era, and it is a .32:
https://youtu.be/pMKYal5Tles“Hard times create strong men. Strong men create good times. Good times create weak men. And, weak men create hard times.”
― G. Michael Hopf, "Those Who Remain"
#TINVOWOOT
with everything Puma Guy said.