And yet on Friday, Bishop was the first to be dismissed in a party-room ballot, garnering just 11 votes of a possible 85 against Peter Dutton and Scott Morrison.
In June, however, she said Australia wouldn't be following the United States in moving its embassy to Jerusalem, rebuffing pressure from the party's base.
The new ministry includes some of those behind the toppling of Malcolm Turnbull as the Liberal Party tries to heal deep divisions before the next election, due by May 2019.
He prides himself on his record of visiting remote Indigenous communities at least once a year as opposition leader and prime minister, including a trip with Mr Morrison in 2009.
His party will already have to contest a by-election for Mr Turnbull's harbour-side electorate in Sydney, traditionally a safe Liberal seat. Morrison went on to win the vote to become the new PM.
Taylor was instead given the energy portfolio in the new cabinet, taking over from now-treasurer Josh Frydenberg.
By putting urban infrastructure and population into one portfolio, held by Melbourne-based minister Alan Tudge, the prime minister puts a sharp focus on two related issues which are concerning city voters and driving many to consider voting for parties such as One Nation.
On 23 August, he handed his resignation to Prime Minister Malcolm Turnbull, amid a round of leadership challenges.
Bishop resigned as foreign affairs minister after Friday's spill and will be replaced by Marise Payne.
Morrison, who was sworn Australia's Prime Minister on 24 August, chose to roll the cyber security functions into the Department of Home Affairs instead of appoint a replacement to Angus Taylor who resigned on 23 August.
Nationals MP Keith Pitt also quit on Sunday as the Assistant Minister to the Deputy Prime Minister, protesting the government's efforts to address climate change and its commitment to the Paris agreement.
Despite having swung behind Mr Dutton's tilt at the leadership, Mathias Cormann has been returned as finance minister and Senate leader.
Financial Services Minister Kelly O'Dwyer, who supported Mr Turnbull and then Mr Morrison, will move from Financial Services to Jobs and Industrial Relations.