Without a bit more information it is hard to provide specific advice. The rules for what you can do with land for Moreton Bay Regional Council are here:
https://www.moretonbay.qld.gov.au/subsite.aspx?id=73667
There is no specific mention of an airstrip in either the rural or rural residential. Often it can be argued that an airstrip use is consistent with rural activites eg aerial spreading, farm inspection however that is harder if the area is zoned rural residential.
It also isn't clear if the airstrip is existing and with approval and this is a new council restriction in response to a complaint, or if this is a resection imposed in applying for a new airstrip. If it is the first case then your argument is easier. I suspect that some good professional advice is worthwile if you want to push it.