Unless the bore is burned out I don't see the point...
The 300 Win will do just about anything a rifle needs to do at longer ranges than most folks want to do them, and with more better bullet choices than one needs to do them with.
35 Cal is a big step down from that pinnacle with more compromises than I'd care to make. At some point you have to buy bullets, and terminal performance is more about the bullet than the bore size.
Even if the bore is shot I'd re-barrel to 300 Win, but that stock looks clean and most guys don't shoot these magnums enough to burn them out anyway.
I'd clean up the muzzle end a little, a new stock, and shoot the rifle as is, but if you want a shorter barrel there's nothing wrong with a 22" 300 Win.
If you're not recoil sensitive the 300W is a great all-around do everything rifle and long range hitter with a good LR bullet.
All the years I only had one rifle that's what I had...that and a RockChucker.
