Liberal MP Tim Smith is demanding Bettina Arndt be stripped of the Order of Australia honour she was awarded in January, over comments that are "totally at odds with the values of the Australian people, the Crown and the Australian Government".

Following the murder of Queensland mum Hannah Clarke and her three children at the hands of her estranged husband Rowan Baxter, Ms Arndt spoke in support of comments made by a detective who has since been removed from the case.

Bettina Arndt. Credit:Joshua Morris

Queensland Police Service detective Mark Thompson drew widespread criticism after questioning whether the horrific murders were an act of domestic violence or of a "husband being driven too far."

Ms Arndt, who is well known for her "not all men" commentary, praised the Queensland police for "keeping an open mind and awaiting proper evidence, including the possibility that Rowan Baxter might have been driven too far".