You've left out quite a bit. Does your rifle use the old military mauser bbl.? I have had one made up with a BRNO 29" bbl, cut back to 26". This looks wrong as the step down is long enough for a Rem front ramp sight to be screwed on, down there. Better aethsetically to chop back to the step, but there goes the 26" length, needed, to make the chronograph sing.
What I might consider, is doing a second wildcat on the 8x06, by working over the new 375 Ruger case to imitate the 8x68S Magnum, but in a common, U.S. case. I found a 8X338Win. load at eighty grains, which is close to the Schuler case, and my idea is to simply open up the Ruger case, then push the radical shoulder back, to the 06 Datum point, to get a Poor Man's Ruger, instead of the old 'poor man's magnum'. the Schuler has 14.5 deg. shoulders and the 06 has 17, or so, so the case should share the same, super adrenalin, bolt closing, of the Schuler's African fame. I believe the Schuler is about 3 mm longer than the Ruger, otherwise I'd look to just do the Schuler chambering. The big laugh of the 325 WSM and Rem Short mags is that in the fine print, they say don't trust em to go after really dangerous game, Ha! Herr Schuler was right all along with his conservative profiles. A little tinkering with the side wall dimensions should just about equalize things between their 338 belted and 375R parents. In closing, my BRNO piece is set in a Ram Line syn. stock, so it absorbs almost all the recoil over the bench. More like an 30-06 in a B.A.R.'s recoil soaking action. These 8MM X 06, or whatever else can fit in the 98's, make it hard to get your nose down onto the straight syn. combs, so I'm angling for a holosight mounted forwards, as I am a lefty, and have retained the straight bolt handles on my 98's.
FYI; my BRNO Mauser surplus came from Big Five, was obviously made before 1936,(long bbl.), Beech stock, and would just barely resist closing on the field gage. It wasn't safe, as sold, to use 8X57 ammo, anyways. I stuck with the regular 8 X 06, so I wouldn't cut a chamber shoulder, too deep, for the larger cases, if I later felt that I needed more giddy-up. Speer and Nosler slugs are made for 50KCUP and the quick 7.92 X 57 twist, as opposed to the marginal 11" Schuler twist for the weaker bullets, on the market, back in 1939. If someone actually turned off the butt of your military bbl. to get a 8X308Win. to rechamber, then you're going to run out of steel in the stepped military barrel, or what's left of it. Then you'd probably have to stick with the 8X57AI. Personally, I like the 8X308, but only in a shorty 18" bbl.; say, in a Rem Mod. Seven. It's a quick powder proposition, just like the 243W. in my daughter's 18", M 7. My handloads for her, simulate the older 6mm Lee Navy, with 105 Speer round noses. If you really do have a 8 x 308, then you are heading afield with a 300 Sav. on steroids, so better stick with the lighter bullets. Hornady has a wicked, 8MM, 150gr. Spitzer with a crimping cannelure. These will have to be set out a bit, for the remaining military throating, in a rechambered and shortened barrel. My virgin Rem 06 cases won't chamber, as is. You gotta run them through the F.L. sizer, in my RCBS dies, and only then, will they let you close the bolt. So, it's a complete turnaround from the Century-Big Five, mil. surplus, field gage, floor sweepings.