Just want to point out that Rupert Murdoch is arguably one of the least Australian people in the world. You're not necessarily wrong to say that he's "from" Australia, since that's where he originated, but he made an active choice to actually give up his Australian citizenship, which arguably makes him less Australian than someone who lacks Australian citizenship purely by random circumstance. So using him as an example of "American" isn't by any means wrong.

You're right in the overall point you're trying to make though. Murdoch's influence has been a scourge on Australia as well as America, and the UK, and beyond. It's a nitpick, but one I think is worth being aware of.