Welcome to America!!
I wish I could do the same thing in your country, I'm sure it would be a wonderful experience.
Hope all the rain and flooding in Oz isn't affecting your "stick house" (home).
The analog thermostat is a piece of junk and won't cycle like it should. That being said, yours shouldn't be cycling with such a large margin. Perhaps there is an internal adjustment but I just don't know (someone here will help with that if possible).
I replaced mine with a cheap digital and it works great. If you use both fan speeds on AC than you will need to modify a digital to accommodate this, see here:
http://www.modmyrv.com/2008/07/14/rv-digital-thermostat
If you don't care about the lower fan speed you can do a direct swap-out in no time.
Here's a link to a thread on another site having to do with the same problem:
http://www.rv.net/forum/index.cfm/fu...d/24348705.cfm
Good luck and G'Day