Yeah that is right, I think especially cats (apart from a minority, or if their food supply was threatened) wouldn't give a shit about animal rights at all

Dogs would a bit more I think but they wouldn't really care about stuff like rabbits or cats, especially not cats, unless they evolved a bit more of a capacity to care.
i think they would have a better/more equal society and foreign policy, though, as least as far as other dogs were concerned, whereas if cats ruled the world then from a left wing perspective

it would be in an even worse state than it is now. but i think that if dogs controlled the world, cats would definitely not have a very good time.