Well, if you check the length of a .308, and the length of a .270........and the bore diameter of a .270, and of a .308..... Houston, we have a problem....
Since the parent case of the .270 was the 30-06, this would not be a rechamber, but a rebarrel. IMHO, the .270 is one of the most versatile rounds that there is- and danged close to what the M1 Garand was supposed to be.
You may be better off to shop for a .308, and keep the .270. It really comes down to what IS it that you would like your rifle to do?
What we have here is... failure- to communicate.