in WA and Victoria at least, and other states should be the same, the Third Party legislation is all about a "no fault" premise, because years ago the government passed laws to avoid a situation where an injured person had to pay for their own medical care until the court case had settled...which could take a long long time.
Like the other posters have said, get a really good lawyer...a friend of mine used D'Angelo and D'Angelo here in Perth, and when the Insurance Commission offered $5400, the lawyers negotiated and ended up getting him $15000 less their $700 fee...D & D were very very good apparently.
First up you have to register the injury as an MVA because your normal GP separates his/her consults as normal medical consults, Workers Comp, and MVA's, and for MVA's, just sends all the bills to ICWA. You'll end up getting a big big box of Celebrex (anti-inflammatories) that you will never use, and other stuff like Panadeine Forte (great for pain relief, knocks you out)