Parrots in state/federal campgrounds?

Has anyone camped in state/federal campgrounds with parrots? All that I've looked at have the following under "Pets":
"Captive wild species, whether native or non- native, and barnyard animals, except horses, are not allowed."
Looks like the only pets allowed are dogs and cats. We were hoping to take a couple of our parrots with us on the longer trips, but may have to rethink that if they're not welcome at government campgrounds. Thanks for any info.