The poll also showed that voters considered Julie Bishop, and not Morrison, to be the right person to head the Liberal Party.
Shock jocks Alan Jones and Ray Hadley have reopened communications with Prime Minister Scott Morrison.
Turnbull became the fourth prime minister to be dumped by his or her own party since 2010 in an extraordinary period of political instability that frustrates most Australians.
While Canavan remains the nation's Minister for Resources and Northern Australia, the energy portfolio will be given to Angus Taylor after former Energy and Environment Minister Josh Frydenberg took on the role of Treasurer after also being voted the Liberal Party's deputy leader in last week's leadership spill.
Mr Morrison says engaging in climate discussions would not help farmers fill out forms to seek government assistance.
WA powerbroker Mathias Cormann will remain as Finance Minister and the Leader of the Government in the Senate, despite his very public support for Dutton. His contender Peter Dutton will keep his Home Affairs role, but the Immigration will go to David Coleman.
Prime Minister Scott Morrison won a ballot of government lawmakers for the leadership on Friday against rival Peter Dutton.
Malcolm Turnbull told supporters he will resign from parliament on Friday, a week after he was forced from office by MPs in his conservative Liberal Party because he had lost their support.
Another, lesser-known MP also gave his resignation from the ministry ahead of Mr Morrison announcing his new cabinet.
Morrison said his new cabinet will provide necessary stability to the government and bring fresh ideas to tackle big challenges.