I think for every person (in teaching) that has a great deal of difficulty finding a job, there seems to be another that has almost seamlessly found work. I believe these people to be the ones willing to move interstate - work in country, metropolitan or aboriginal schools - and accept lower positions than what they had in the UK/International School.
I do not have kids and have absolutely no worries about working in any educational establishment or any workplace to just gain an income. I would happily work in a shop / bar / restaurant /agricultural work etc. On this bases, I have absolutely no concerns about teaching jobs being so extremely difficult to come by as all good things come to those who wait and are willing to stretch their job search to anything that pays.
I have heard shockers of people writing over 100 job applications and not getting any interviews. I can say now, that is either extremely, extremely bad luck - or, more likely, a very poor CV/Covering letter that has not been personalised for the school in which they were applying for. Also, many people are so restricted by which state thy want to work in, they cut out another few hundred schools.
But, I agree with you - be prepared to have to work at it, be patient, be willing to work anywhere. ensure you can support yourself financially in case of no employment, but NEVER be scared off emigrating and trying to makes your dreams come true. I have seen some extremely negative comments on forums on the impossible nature of a UK teacher gaining employment- that's BS. Nothing is impossible if you set your mind to it, never give up and work work work for it. This is what we teach our kids and we should start taking our own advice I think.
I am saddened by how many teachers give up their dream because of other people's experiences....make your own experiences I say.