Native animals as pets while traveling through NPs

As far as I know anything that is classed as a domestic pet is not allowed in even if they are in the car and don't get let out. I saw an argument once between a ranger and a guy because he was travelling through a national park with his dog in the car and that's where the dog stayed...but it was not good enough. The only thing that got him off the hook was that he was on his way somewhere and had no other choice but to go through the park to get to his next destination.

After the issues Ive had over having a dog tied to to the trailer during overnight stays ...

NPWS being NPWS ...... they would probably try to have you arrested for catching birds and being a bird smuggler ....