More than 11,000 people have signed a counter-petition demanding ABC "publicly condemn and fire" Muslim youth activist Yassmin Abdel-Magied, following her appearance on last Monday's episode of Q&A.

The Change.org petition, launched by right-wing news site Altcon News, is a retort to another petition launched by Muslim leaders earlier this week in support of Abdel-Magied, which received just under 2,500 signatures.

In the petition, Altcon's authors accuse Abdel-Magied of "blatantly lying to the public about the merits of Sharia Law", of which she is a follower.

They cite Sharia's "oppressive impact it has on non-Muslim groups, homosexuals and women", and call on the public broadcaster to "reassure the tax-paying public that they condemn her rhetoric and that Australians obey one set of laws".