Members of the Australian Liberty Alliance (ALA) and other groups delivered a petition calling on the Federal Government to create a special refugee visa category for the farmers.
Both sides taunted each other from across the street, with the left-wingers holding signs saying "fight racism" while the right-wingers carried banners saying "let the right ones in".
As the ALA supporters crossed the street to deliver the petition, they had to walk through the left-wing groups.
The shouting increased and there was some pushing and shoving, forcing the police to intervene and keep the rival groups apart.
However, no-one was arrested.
ALA activist Avi Yemini said the Government should create a quota for South Africans within the humanitarian visa intake for next financial year.
"We want a commitment … just like we did for the Syrians last year," he said.
"The only reason anybody [from the Government] can give that they're not doing that is because they're white and they're Christian."
"The situation in South Africa right now is dire," she said.
"There are people being slaughtered, women and children [are] being raped.
"[Visas], they take time and there is no time for these people, they are going to disappear if we don't do something soon."
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