Tom,
The re-chambering you asked about should be a straight-forward rechambering job plus modifying the receiver rails to feed the fatter .284 Winchester case reliably. The bolt face and extractor should work as is.
You should gain probably 200 fps muzzle velocity with the medium-heavy bullets, and accuracy should be at least as good as the original 6.5x55 caliber IF the featherweight barrel was accurate. Long-range competitive shooters like this wildcat for it's windbucking characteristics.
Be advised, however, that the 6.5x284 is a semi-wildcat, brass is expensive, and the conversion would reduce the resale value of your rifle.
HTH
John