One Nation senator Brian Burston has blamed Australia's refugee intake for violent crimes including drive-by shootings and home invasions.

Senator Burston used his first speech in federal parliament to argue the government's increased refugee intake would take funding away from needy Australians and undermine social harmony.

"Imagine the infrastructure that could be built or maintained with the money spent on 18,500 refugees who are to be forced on the nation every year by our establishment parties," he told parliament on Tuesday.

"Experience tells us that many of these refugees will be unemployed for extended periods, as will their children, and impact negatively on our society."

Echoing the first speech of his leader Pauline Hanson last month, Senator Burston warned Australia was being "swamped".

Indiscriminate immigration was "immoral nonsense" destroying social cohesion, he said, calling for restrictions on Muslim immigration.

He said Australia's experiment with mass Muslim immigration had failed, claiming there was evidence it led to welfare dependency, organised crime, a long-term threat of terrorism and "questionable loyalty".

"Car-jackings. Home invasions. Flash riots. Drive-by shootings."

Senator Burston also took issue with acknowledgement of indigenous Australians, warning constitutional recognition could inject injustice into the constitution.

Anglo-Australian students were being made to feel guilty for "supposed historical injustices" committed by their ancestors while the national flag was ignored or dishonoured in schools, he said.

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"At school assemblies the acknowledgement-of-country ritual tells them, again and again, that their land belongs to Aborigines, whose flag is often flown with equal or superior prominence to the national flag," he said.

"The acknowledgement of country ceremony, recited in school assemblies across Australia, finds no place of honour for the British and other European explorers and pioneers or the nation they created."

Senator Burston called for public funding to be stripped from the ABC claiming it had been subject to a cultural Marxist takeover with the money to instead be put toward a new public broadcaster called the Patriotic Broadcasting Corporation representing mainstream Australia.

The ABC, SBS and NITV were biased against mainstream Australia, he said.

"The ABC long ago abandoned any semblance of patriotism, or even balance," he said.

"The remaining ABC structure would receive funding commensurate with the size of its inner city, Greens-voting constituency."

Senator Burston also called for a Senate inquiry into the jailing of Senator Hanson in 2003, to identify establishment figures he claims sought to destroy her because they were losing votes.

Several Greens senators walked out of the chamber or interjected during the speech and none of them congratulated Senator Burston afterwards, as is customary.

Nick Xenophon Team senator Skye Kakoschke-Moore used her first speech on Tuesday to decry discrimination against Muslims in Australia.

Living in the Islamic country of Oman with her family for 10 years taught her that respect for one another was the key to living peacefully.

"That is why the hatred and wilful ignorance of some Australians to Islam and multiculturalism cuts me so deep.

"It does not and it should not matter what God you worship."