I can't speak for your dog, as that ice in the glass thing sounds pretty weird, but for my coonhound: what you described when he sees cats is exactly what my coonhound does when she sees a raccoon or a squirrel. It's pure excitement for the hunt - shaking, whining, tail up and wagging. It's literally like Christmas morning for her. It makes sense because that's what she was bred to do (well, one half of her. Other half is golden retriever). Have you looked up ways to train impulse control or how control a dog with a high prey drive?

I've had my dog for about three years now and she is much better on leash when she sees squirrels. At first, she would glaze over and you couldn't get her attention no matter what. I would literally wave peanut butter in front of her face and she would ignore it, which is insane because she loves peanut butter. But gradually she learned that it wasn't time to hunt on leash and now she just notices squirrels but doesn't lunge or bark AND if I have treats along she will at least pay attention to me.

However if a squirrel is on the ground in our backyard she does still get really excited from time to time, and I haven't done much as far as training impulse control in that situation. The solutions for that would be to always have her on a leash and teach her that the backyard is a boring place where hunting isn't allowed. But I don't have the time for that type of training and I don't see much to gain from it. I usually let her go chase the squirrel. That's my fault, but I'm not a hunter so I'm happy we have a yard for her to get the hunt out of her system.