New Liberal senator Jim Molan is making no apology for using social media to share inflammatory anti-Muslim videos from Britain First - the same racist hate group Donald Trump was widely condemned for promoting.

Labor has accused Senator Molan of stoking racism and bigotry and the Islamophobia Register of Australia says his actions are dangerous. Senator Molan admits he cannot verify whether the videos are real - or whether they really show Muslim violence as Britain First claims - but has strongly rejected the racism claims.

"I've put my life on the line for major Islamic, Muslim countries in this world. And I find it deeply offensive that this cheapo hack at me has come out on day one," the former major general told the ABC, hours after being sworn in to the upper house.

"I see what I see in the video and I invite everyone who's listening to this program to have a look at those videos and judge for yourself."

The conservative hardliner has also shared articles about banning Muslim migration to Australia, as well as posts highlighting Prime Minister Malcolm Turnbull's poor polling and advocating for the Coalition to "lurch to the right".