His comments come as Muslim and other community leaders came together for the first time to publicly denounce the shooting of Curtis Cheng a week ago.
It's been a tough week for Australia's Muslim community - tougher still for those at Parramatta Mosque.
This is the place Farhad Jabar visited before killing Curtis Cheng.
Friday's call to prayer was also a call to unify as Australians in the face of extremist influences.
But Parramatta Mosque Chairman Neil El-Kadomi also had a warning for anyone challenging Australia's open society.
"I said you waited a long time to come to this country. And you should not abuse the privilege that you are in Australia, which is very important."
"And if they do?"
"Get out."
The Grand Mufti of Australia, Dr Ibrahim Abu Mohammed, has spoken about last Friday's fatal shooting for the first time.
He issued a plea not to vilify his religion but to recognise social factors and the global reach of extremists.
"These misguided teachings are imported to us and are not made in Australia. It comes from sheikh google, sheikh twitter, sheikh facebook and not made here. And developments in the international arena contribute also."
The Prime Minister says community leaders all share a determination to work as part of the "Australian family".
And he says mutual respect is fundamental to harmony.
"We have to ask ourselves are we teaching our kids, in word and in deed, the values of mutual respect? Because if we are not, then we are not doing enough for Australia."
But prominent Muslim figure Maha Abdo says the families on the front line fighting radical influences are feeling the pressure.
"There is a lot of good that's happened, there's a lot of good that is going on. Yes what happened is appalling, we are hurting, Australian Muslim women are hurting."
A week since Curtis Cheng was gunned down outside the Parramatta police station, and Muslim leaders and anti-Islamists appear to share the same message - if you don't like Australia, get out.
But they don't agree on whether the defining Australian characteristics of tolerance and inclusiveness are missing in action or being used and abused.
Parramatta City Councillor Shahadat Chowdhury says the search is on for common ground.
I appeal for an understanding form the mainstream community to please help us clean our back yard, to weed our back yard from all these problems. So please help us, we need help."
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