>> The cats are in a cage with floor to ceiling window looking out on the bird feeder.
That's dramatic. It reminds of when I had two Siamese fighting fish. I kept them in separate aquariums, but sometimes pushed them next to each other. The smae fish woluld always be intimidated and cringe in a corner.
So I put him into a small circular fishbowl that I thought would magnify his image to the other fish. He was still usually the one that wimped out.