No, we are not, although we do pay for ambulance cover.
Our experience has been that for very serious illness, where we live,the public hospital has been wonderful. I was taken by ambulance to public health, as the hospital dealt with my illness, the private hospital did not. The gap in private is huge and although we are told you have your choice of surgeon, how so? unless you are dealing with him on a very frequent basis, you'll most probably have someone quite unfamiliar. My brother in private needed to wait until morning rounds to see him urgently, public - the oncall dr. would see me at midnight..... And why??? - I believe the private health is subsides by govt. to the tune of $2 billion..... (the amount may not be absolutely correct), but if it went into public health we'd have less waiting times etc., and walking into a hospital - well, we may not have to wind our way through quite so many BMWs and Audis.... - yes, I'm cynical.