I have 5 cats and a dog. The dog mostly ignores the cats, however he has a real dislike for my cat Scooter.
One thing I have noticed is that with time, the dog has come to ignore Scooter more and more.
I would never leave them in a room alone together, but after 2 years together, they have both learned to give each other alot of space.
Hope this happens with your two.