The author should speak for himself. Isn't much of Australia's population "Scots-Irish"?
The British Isles component of the Australian population is basically the same as the British Isles component of the U.S. Northeast and Great Lakes regions: Eastern English (Puritans who morphed into Yankees) and Southern Irish. (Until 1960, Australia received little Continental European immigration and none from outside Europe.) The political lines in Australia resembled those in the Northeast in the late 1800s: English Tories (like the Yankee Republicans) were the political establishment; Irish Laborites (like Irish Democrats) being the main challengers.
The Scots-Irish derived from a different region of the British Isles. The 17th Century emigrants to Northern Ireland came mostly from the Scottish Lowlands and the English border region. They were Protestant, mostly Presbyterian, and their ancestors had spoken English, or more precisely Lallans, for centuries prior to their immigration to Ulster. Racially, they were a mixture of Germanic (Anglians, Vikings) and Celtic (Picts, Britons, Gaels) strains. In Northern Ireland, they mixed further with Highland Scots, English, Huguenots, and the original Irish.
A majority of the Scots-Irish that emigrated to America in the 18th Century settled the interior of Pennsylvania and Virginia's Shenandoah Valley. Pennsylvania Dutch and Tidewater English also settled these areas. From these crucibles, a wave of mostly Scots-Irish settlers spread westward and southwestward. Their descendants dominate Appalachia, the Upper South, the Ohio Valley area of Ohio, Indiana, and Illinois, the border states of Missouri and Kentucky, and the Southwestern states of Texas and Oklahoma.
These people, who wholly identify themselves as Americans, are very well represented in the military. Along with the mostly English descended citizens of the Lower South, they represent the core group supporting traditional values, conservative politics, and evangelical Christianity in America. To a great extent, they have prevented this nation from going as far down the road to Gramscian Marxism and socialism as have the other Western democracies, Australia included.