If you look down the bore of your drilling and down the bore of a nice, clean 8x57IS, you should be able to see that the rifling is deeper on the 8x57IS. The difference between the .318 and the .323 is that the rifling was cut deeper because of the barrels wearing out with faster ammunition, and the chamber has the throat relieved and lengthened just a frog hair for the wider bullets and higher pressure loadings.
Can you get your hands on some Remington 8x57 RN ammunition? The bullets are .321 and the load is mild, 37,000 CUP, about 2,350 FPS even in a long barreled rifle. The friend who gave me my 1888 Commission Rifle, used it to take quite a few deer. I slugged that barrel, and it was also .320, so it may have had the rifling chased with a broach, as it has Turk, Chinese, and Vietnamese stamps on the sling and stock. Winchester supplied some mild 8x57 ammunition to the Nationalist Chinese when they were fighting Japan in the 1930s. The Remington and Federal 8x57 Mauser ammunition chamber quite easily in my 1888.
Can you get your hands on Hornady .321 diameter 170-gr Flat Point bullets? These are made for the .32-40 lever action, for which I load. I also load them for the 1888 rifle, and they shoot great, just like a cast bullet would if it were a bit over size to the bore. Hornady also makes a 170-gr RN bullet in .323 for 8mm bores.
Load up one of these Remington or Hornady FP bullets with about 8 grains of Red Dot, Trail Boss, SR4759, etc and shoot it into some soft media where you can retrieve it. It will only be going about 1100 FPS, so you can shoot it through a couple of water jugs and into a block of soft clay. This will give you a really good set of rifling imprints in the copper jacket.
As a side note, Prvi Partizan 8x57IS ammo is a 196-gr bullet at about 2,150 FPS.