That's a good question. I took both my SAE and Metric tap and die sets out to my car and remove the shift knob to try to match it up.
A 7/16" x 20 tap fits the handle very well, but is too small for the shifter shaft. A 1/2" x 20 tap is too big for handle, but loose on the shaft.
A 12mm x 1.50 tap is loose in the handle but otherwise seems to fit, but the die is too small for the shaft. I don't have a 13mm, but it is probably very close to the 1/2"
Anyway, I've told you what doesn't fit, so that may help it trying to figure it out.
Does anyone else know for certain?