Julie Bishop is an interesting case:
Mastermind Rational
It isn't that uncommon for the Masterminds to 'not seek' leadership, they can be content to backseat it, (and assuming I am right on the temperament of course), Kevin Rudd is also a Mastermind, but I would add Julie is pretty comfortable in her skin, Kevin is driven by his upbringing experiences, and I wonder at times how healthy his state of mind really is.
They actually have a reasonable friendship, (Julie and Kevin). Phone calls, chats, birthday cards, sometimes dine together.
Not sure if anyone is aware of Annabel Crabb's cooking thing with the pollies? sounds trite, but...it's actually quite interesting and good insight into some our opposition pollies as well as the cabinet, Chris Pyne, Julie, Penny Wong. few so far. Amanda Vanstone and Chris Pyne together are a hoot! It's actually nice to see the non-politician side.
Incidently, Bob Brown is an Idealist. I'm unsure if Healer or Counselor, I think Counselor, very 'standing his ground', we have not had an Idealist political leader for many many decades, one of the founders, original PM's was a Healer Idealist, Alfred Deakin, the USA has had none, apart from a spouse, Eleanor Roosevelt, from memory also a Counselor Idealist:
http://www.keirsey.com/4temps/counselor.asp
The descriptions I link to are only superficial guides btw. This is 'temperament theory'-theory only, these are people first, foremost, they are 'themselves' a mixture of unique nature/nurture=character/intelligence. People are way more complicated than 'just theory'.