Alice,
I also live in Sydney, and know the psychs that deal with TS issues in Sydney.
Any good psych will look into your past and your state of mind, and will not allow you to start hormones without a good indication that you are TS, and any doctor will seek the opinion and approval of your psych before starting you on hormones.
With myself, I hated being male (but not everyone is like that), and was slowly self destructing, and would have eventually succedded in ending my own life, now post transisiton I am the happiest I have ever been, and am no longer on the path to self destruction. I have a job where I am respected and liked (and my collegues know cause I transitioned on the job). So I have been one of the lucky TS's that have had a successful transition. My journey from first seeking help, starting hormones and transisiton was just 3 months, short, but it was right for me.
Remember that for most, transition is not an easy thing, be prepared to loose contact with friends and family, you will be on hormones for the rest of your life, and the posibility that you may be out of work. This doesn't mean that it will happen, but it is things to be prepared for.
My mum, dad and siblings no longer want anything to do with me, but apart from that I have been lucky, I have a wonderful partner, whom I love dearly, my neighbours know and are great, my work could not have been better with transition, my collegues are great, and treat me as if I was always female, and include me on things.
So basically if transition is for you, then do it, but if you have any doubts, then you need to sort out those doubts before transition, or you might find that transition is not for you, and that you are happy and confortable just cross-dressing.
You mentioned that you wish that somone could invent a way to fix the mind. I have to say that for many of us fixing the mind is a very scary path for science to take, I know myself I would not want to fix the mind, because I am female, and have no desire to be male, fixing the mind can be likened to trying to straigten a gay person, which would also scare the hell out of me, since I am a lesbian. But I guess for people that are not 150% certain that transition is the only way for them to be themselves, then fixing the mind might seam like a viable option, and only you can do that, but you will probably always live with the desire to cross-dress.
Ensure that you speak with your psych about your doubts and concerns so that he knows everything he needs to know and can then make the best suggestions for you. If you are unhappy about being put on hormones so quickly, or are unhappy with your doctor, then seek out another.
Remember it is your life, and you need to be happy, if happiness is transition, then transition, if happyness is cross-dressing, then cros-dress. Everyone is different.