I understand both sides.
Rats and mice are generally accepted as pests, and other than to a select few, have minimal followers. Birds, on the other hand, are highly respected by many followers. There are examples of excesses of birds being "pests" (pigeons, seagulls, crows, starlings) and efforts to control their population usually go undisputed. On the other hand, there are thousands of laws in place to protect hawks, eagles, parrots, and game birds to prevent extinction. The Audubon folks are just as sincere about protecting birds as are cat lovers. Bird numbers ebb and flow according to mother nature in most cases. Cats have been harbored, nurtured, and allowed to reproduce thanks to human intervention, without letting nature control the species as it maybe should have. We have tipped the scale in their favor.
I personally think it's unfair to put one in front of the other on the list of those to help. I can personally say that I would rather be awakened in the morning to the sound of the mocking birds, scrub jays, or finches, than the sound of a couple of the local feral cats fornicating under my bedroom window.