Very few parks, from what I've seen, have been successful at mixing thrill rides and an animal presence (and I do NOT limit my measure of "success" just by how many more, or how many less, visitors there are!)
Those that are truly "doing it right" in my view are those that have a very clear and very distinct dividing line in the park for the 'animal' side vs. the 'rides' side. In other words, such places are like having two parks in one perimeter. You have a 'zoo' section and a 'rides' section, and never shall they collide.
Examples of places that I've seen (or seen pictures of) that seem to be "doing it right" include Busch Gardens in Virginia, Cedar Point in Ohio, and (gotta give them SOME credit) the Sea World parks. It is also my understanding that Knotts, at one time, had an animal presence, and that they also had a very clear dividing line between it and the 'ride side' of the park. Good job!
Right now, there's only one glaring example of a park I can think of that's doing it all wrong, and that would be (yes, you guessed it) Sick Flags Discovery Kingdom. When they started installing rides, they didn't even bother to create the necessary dividing line(s). They just built stuff overhead, around, and through. BAD idea! The increased noise level alone cannot be good for the critters in the long run. Don't even get me started on how much they shrank the land animal areas to make room for support beams, new pathways, etc.
You know, it's theme park, means, anyone can be in it. Not everyone is always being nice to animals. I'm afraid the animals will be kind of... violated.