The president of the Anti-Discrimination Board of New South Wales says racial cohesion in Australia is facing its greatest threat in 30 years and that a situation similar to the Cronulla riots is not "off the plan", after a weekend of racially charged anti-Islamist rallies around the country.

The right-wing nationalist group Reclaim Australia held rallies in 18 different towns and cities over two days, with an event in Mackay addressed by Federal Government MP George Christensen.

A crowd of 150 people gathered in Sydney's Martin Place on Sunday morning, draped in Australian flags and in some cases, dressed as Ancient Greek soldiers.

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