The FAA course is good - comprehensive and you'll be well-primed to take on a dispatch job here if you get a decent pass.
Problem is it may not put you ahead of the "competition", so you can probably save some money and go do some CPL subjects.
Aus airlines - maybe QF being the exception - seem hell-bent on dumbing down the job and paying peanuts to boot, so think hard before you decide on jumping into what is either a transient or dead end job in this part of the world.