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Stewmac reaming tool?
I have this tool if you'd like it, I've used it to fit Gotoh tuners - certainly ones that look like yours, though there always seem to be lots of different versions. I must have it back in the next month though as I'll need it for my current build :) Measure the bushings you've got with verniers if you can and if you want to use it - I can do the same on the reaming tool.
I must caveat this though - I've never used it on a finished neck. It's sharp but it really could grab a chunk of finish and rip it off; it'd be a high risk operation.
The reamining tool also leaves you with a fairly tight fit - I could press them in with a drill press, but Rich (who painted mine) couldn't get them in without.
Metric / imperial versions of guitar parts are massively annoying - they're absolutely everywhere, and often for really crucial measurements around the nut / bridge / tuners!
Going to have to drill it out.