The nation's political leaders have delivered a blunt message to the community about the need to accept Australian values.
"If you find Australian values unpalatable, then there's a big wide world out there and people have got freedom of movement," Prime Minister Malcolm Turnbull told reporters in Sydney on Friday.
It was a view endorsed by Opposition Leader Bill Shorten.
"If you really hate Australia, then you should go," he told reporters in Tasmania.
Both leaders were speaking a week after a veteran police accountant was gunned down in Sydney's west by 15-year-old Farhad Khalil Mohammad Jabar, in what Mr Turnbull described as an act of terrorism that was politically and religiously motivated.
"It was a shocking reminder of the consequences of radicalisation."
Their sentiments were supported by the chairman of the Parramatta mosque where Jabar prayed before killing Curtis Cheng outside the Parramatta police headquarters.
Neil El-Kadomi told hundreds of worshippers gathered for Friday prayers that "if you don't like Australia, leave".
"Get out. We do not need scumbags in the community."
The prime minister met with a group of seven Muslim leaders in western Sydney on Friday morning.
He described the discussion which went for more than a hour as "very constructive".
"All of them spoke of their determination to ensure that we work together as part of the Australian family to prevent the spread of extremism," he said.
"It is my role, it's the role of political leaders at all levels, community and business leaders, religious leaders and educators to stand up against hate and extremism."
Mr Turnbull called on all Australians to reflect on the importance of mutual respect.
"Whether we are over this weekend at church or at home, at a mosque, wherever we are, I want to encourage Australians of all faiths, or of no faith, to reflect on this fundamental value of mutual respect," he said.
Mutual respect was fundamental to harmony as a multicultural society.
It was also a two-way street, Mr Turnbull said.
"Individual Muslims who preach hatred of other Muslims, of Christians, of Jews or others, threaten to undermine our social harmony, our prosperity and our security," he said.
Those who tried to tag all Muslims with responsibility for the crimes of a tiny minority and convert that into a general hatred of all Muslims were also undermining the national interest.
"Those who do that are making the work of the police and security services, governments who seek to prevent violent extremism, much harder," Mr Turnbull said.
The heads of government agencies will meet with the director of counter-terrorism in Canberra next Thursday to make sure everything was being done to make Australians safe.