No, no no… Cats think much more grandly than that. Imagine a costumed super villain standing on the balcony of a huge baroque lair, raising his arms in victory while he gloats to the world he enslaved. THAT is what the cat is dreaming.
Cats dont have antipathy to dogs or vice versa. That cat is dreaming of wet cat food, shreds of white fish in his bowl. A bowl of dry cat food right next to it. A full bag of dry cat food next to the bowls on the floor. Sixteen cans of wet cat food up on the counter in full view. And, the cat claw rug nailed on the wall. And, a few fluffy cat toys on the sofa.