Labor believes outspoken rookie senator Jacqui Lambie's 'ill-informed' call to ban the burqa is feeding right into the hands of extremists.

The Palmer United Party senator threw her support on Friday behind Liberal senator Cory Bernardi, who used the counter-terror raids in Australia on Thursday to reignite his long-running campaign to ban the burqa.

The raids across Brisbane and Sydney resulted in 15 people being detained and one being charged with a serious terrorism-related offence.

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