Sorry, but your link brings up a whole page of google images with all kinds of Classic Mini Steering Wheels, including some Bakelite ones.
There are a few motor trimmers about who will do Steering Wheels, but not all will do them and not all can do them well.
Be prepared to pay too, as often it costs more than buying a new wheel, but all the same, do some ringing around, you might get lucky, however, before handing over your wheel to be done, ask to see (in the flesh) a sample, I would suggest not going off some photos. Look carefully at the stitching and how they have ended that and also any spoke covers. The Devil as they say, is in the detail !!