A petition before the House of Representatives wants parliament to take action on "banning Islam from Australia through legislation or referendum".
It argues Islam contradicts and divides the constitution and should be considered a sect.
The petition has only one signature and has yet to be responded to by a minister, as is usual practice, despite being presented to the lower house over a year ago.
A more recent petition with more than 900 signatures wants a "user-pays" system for halal certified products and bans on certifiers from collecting fees.
It demands "freedom from forced religious donations" and says halal products not labelled as such amount to misleading or deceptive conduct.
Petitions are the only direct means through which an individual or group can ask the parliament to do something.