The bearings are only a push fit (and quite a stiff one) on the threaded end of the spindle, once you get near the flange they become a force fit and you can use a puller or similar. I' can't see where you got 'polish' from – I can't see it in my article, X233 angular contact article, book or the Arc guide?
The front bearing will need 'persuasion':
"I followed the advice on the Arc website and drove the new inner race into place using a tubular drift – a section of 30mm light alloy scaffold pole, probably the ideal material for the job. Whatever you use, make sure that it fits the inner race without overlapping the caged rollers. It is also important to protect the face of the mandrel by resting it on a block of softwood."
The rear bearing should be a light press fit:
"Now load the rear bearing with grease and slip it onto the lightly oiled mandrel. You can now use the long spacer and one of the locknuts to draw it into place until there is no play, locking the mandrel with a bar in a chuck as before."
It's very important top make sure the spindle is clean, but it should not need to have its size changed as the original bearing fitted! You can oil or grease it to help the bearing races on. Keep the bearing square to the spindle, if it cocks over it will tend to jam. If there are any high spots caused by local bruising of the spindle, you can stone them off.
Slow steady force is best, mocking up pullers with angle iron and M10 studding is a good idea they don't need to be pretty.
Take great care that when fitting the outer races to the headstock that they are perfectly square, you really don't want to crack the casting.