Keira thinks the world has no need for cats. I wouldn't put her in a home to live with a cat. She quivers around them and desperately wants to chase them, but respects that 1) she's leashed around them in other peoples' homes, and 2) I tell her to leave them. I don't know if she'd actually catch and purposely hurt a cat or not, but she definitely wants to chase and might accidentally hurt one. But if it scratched her she'd back off and does seem to respect a hiss.
Ripley, I'm not sure. He hasn't really been around many cats since he was a puppy. He used to want to chase and splat them, but in play. He'd probably do the same now. He's very curious about cats.
Dance used to be afraid of cats. Then she got to know a couple this summer and is much more comfortable with them, except now she chases cats that make sudden movements and will back one into a corner. If they hiss, she gets frustrated and barks but backs off.
Journey's never seen a cat. I imagine she'd behave with a cat like she does anything else though. Happily and playfully, curious, but with a sense that she should be careful because they're small. Aside from wanting to pounce on Izzie, she's normally remarkably gentle with small dogs, and I think she'd be the same with a cat.
With all of that said, with the exception of Journey, none of my dogs are remotely cat friendly to wandering cats that come into our yard or sit on our fence. We have this one huge grey cat that likes to wander in our yard because he knows the dogs can't get to him (the yard is blocked off from the deck with a gate - they have access to their gravel run only unless I let them on the yard) and I swear he comes by just to taunt them. They don't bother him at all. I always have to tell him to get lost. He also sits on our fence and doesn't even budge when the Dobermans bark at him. He's very annoying.