What wonderful flying experience. There are hundreds of pilots out in GA and the Regionals who would give anything to be in your shoes. The scan rate for your instrument flying in a Hornet is first class practice for any big jet that you will eventually get your hands on.
First things first - knock over the ATPL subjects as quick as you can and get the licence. You will have to accept that some operators will be envious of your experience and will knock you back on principle with the feeble excuse that you lack civil light twin time. Been there done that when I tried to get an MU2 job after being retrenched from flying 737's. The CP told me that ex RAAF and ex airline pilots would not fit into his culture. He meant dodgy maintenance and cutting corners, of course.
You will have to rely on being perceived as a nice guy in any interview. There will always be a traditional, although very much misguided, bias against civilian employment of ex RAAF fighter pilots. It is a sick form of professional envy and is prevalent both in UK as well as Australia. The steriotype Spifire pilot image from the war films was responsible for that - again quite erroneously of course.
A good airline will welcome you. For example, Dragonair in Hong Kong. Scatter your CV around and something will eventually come your way. Best of luck and half your luck for that Hornet experience but get that ATPL