I'm not sure I follow you.
Americans are, theoretically, in a much stronger position vs NSA snooping. US law is meant to make it illegal for their spy agencies to look inwards and the US Constitution has its famous "search and seizure" clause which can, if you find the right judge, have some formidable teeth.
As Australian citizens we have no such protections and we have no standing in US courts to get any restitution. We're fair game.
Further, as Australians, while we enjoy some protection from our own outward-looking agency (ASIS), the inward-looking agency (ASIO) can and does investigate Australian citizens with a broad range of powers, including powers to intercept telecommunications. Their powers compound of investigation with the Australian Federal Police's powers of arrest, sometimes without cause or notice.
In theory, ASIO requires the Attorney-General to grant warrants to exercise most of its powers. Statistics on the warrants haven't been published, so we have no idea if they're granted begrudgingly or rubberstamped. My guess is going to be the latter -- which Minister wants to the one who was "soft on communism/terrorism"?