It should only require a relatively straightforward barrel swap. The bolt face should not be an issue, as the case heads are very very similar, in fact I think most american ammo manufactures use the same case blank as the 30-06. Some of the brass produced by foreign makers (Privi specifically) is slightly different from 30-06, but only slightly.
Good choice of caliber, the 9.3x62 is a very interesting round. I haven't had much time at all to develop a load for mine (grad school), but alot of people seem to have good luck with RL-15, IMR 4064, and Ramshot Big Game.
I think im going to try Big Game next. BTW, Graf and sons is a great source for cheap Prvi bullets and cases. Good luck with your barrel swap!