Police around the country are calling for calm and will be on high alert, with ugly scenes expected at mosques this weekend as far right and nationalist groups carry out mass protests.

Rallies are expected outside Parramatta Mosque tomorrow and in Canberra and Bendigo on Saturday.

The events are timed to coincide with similar anti-Islam protests in the USA, Canada and Europe, and also follow Australian police focussing on the Parramatta Mosque in their investigation into a shooting carried out by 15-year-old Farhad Jabar.

“This Friday, we ask the Australian people to join us in protest demanding Parramatta Mosque be shut down until the mosque publicly rejects terrorism and sharia law,” a spokesman for the Party for Freedom, Nick Folkes, posted to his website.

“It’s the least we can do after the Islamic terrorism inspired execution of police colleague Curtis Cheng.”

The Party for Freedom declares itself “the new resistance” online.

While the rallies claim to have been prompted by Friday’s murder of Mr Cheng, a NSW Police Force accountant, many of them were organised back as far as August.

A Facebook page dedicated to tomorrow’s “Bulldoze the Mosque Rally” in Parramatta states that the group is also tired of “weak political leaders and their refusal to accept the truth that Islam is a terrorist ideology”.

The NSW Police Force has called for calm and a spokeswoman said the force had “not authorised any formal application for a public rally”.

Farhad Jabar and an 18-year-old arrested in Wentworthville yesterday. (Supplied)

“NSW police want to remind members of the public against engaging in reprisal actions or inciting violence against any community group or individual,” she said.

“Anyone engaging in this type of unlawful behaviour can be charged and prosecuted.

“As police, our message is that any act of violence, regardless of the motivation, will not be tolerated.”

It is understood there will be a hefty police presence at tomorrow’s rally outside the Parramatta Mosque – which is only a few blocks from the location of Friday’s shooting.

“Equally, the right of citizens to hold peaceful assemblies need be balanced with other rights - including the undertaking of business activities and the safety of the broader community,” the police spokeswoman said.

Nationalist and neo-Nazi groups are also planning to converge on Bendigo on Saturday to protest the council’s approval of plans to build a mosque.

Today, Victorian Police Commissioner Graham Ashton said police would not tolerate violence.

"Our reputation for warmth and generosity is increasingly at risk from a new wave of intolerance that appears to be gaining traction in some parts of the country," he wrote in an opinion piece published in The Age today.

Tensions have been high since Friday’s shooting, with police concerned that far right or nationalist groups would undertake revenge attacks against the wider Muslim community.

NSW police are understood to be investigating another nationalist group, The Australian Defence League, after a post appeared on its Facebook page, calling for “lone wolf” attacks on Muslim leaders and mosques.

“Now these scum of the Earth protest when a video gets made about the paedophile Mohammed and we are having our daughters raped and our police shot in cold blood," a post to the group’s page read.

"I think it’s time for an eye for an eye. So let the Lone wolf attacks start on Mosques and the Imams."

The post was later removed.

Following last week’s shooting, a group calling itself the United Patriots Front beheaded a dummy outside the Bendigo City Council chambers in a bizarre protest.

The United Patriots Front appears to be organising the Saturday rally.

On its Facebook page the group declares it’s not “anti-this or anti-that”.

“We only want to be left alone, we don't want forced diversity… enemies of our Nation be warned, the Australian people are waking up.”

9news.com.au contacted Nick Folkes, the organiser of tomorrow’s rally outside Parramatta mosque.