I doubt that you will be able to saw the race as it is hardened and will probably dull a hacksaw blade in the first pass. A small abrasive disc might work though. I would not use heat for fear of distorting the frame.
From experience I know that replacing the races can be difficult but have always had success with a punch and a weighty hammer such as a midsized ball peen (~500g), used carefully and gently and watching for the misalignment which you seem to have created. Assuming that the technical term cock-eyed means the same to both of us, at this point I would try to realign it by applying the punch through the frame to the high side of the race.
This may require some very hard hammer blows but I can't think of anything else.
From experience I know that replacing the races can be difficult but have always had success with a punch and a weighty hammer such as a midsized ball peen (~500g), used carefully and gently and watching for the misalignment which you seem to have created. Assuming that the technical term cock-eyed means the same to both of us, at this point I would try to realign it by applying the punch through the frame to the high side of the race.
This may require some very hard hammer blows but I can't think of anything else.