UPDATE - now, of course, I was wrong in some things I said
And you were all too polite to point it out!
An equatorial table won't convert your Alt and Azi movements into Dec and RA - Duuuh! It is really designed for tracking purposes - keeping the object within the field of view. And it does so with one motor drive - of the table. I'm fairly sure this is good for visual, but not for photography since, if I understand correctly, you will get varying amounts of field rotation depending where you point to in the sky.
Yes, if you can tip the base up so the bolt through the base faces the South Celestial Pole, then you achieve the equivalent of an EQ mount. Add a motor drive in what was the azimuth direction and you will have tracking, and without field rotation (think I'm right on that last statement).
But tip your dob up to the required angle in Australia, and I reckon it will soon fall out of the alt bearings
I think you'd have to be a lot further south to make it practical.