You got some fun sounding animals! They aren't nervous around the cats or dogs I have, I mean, they will run to me for safety and hop into my shirt collar, but either make sure they have a nice sturdy cage like the sugar gliders or keep them in a room with a door on it to keep curious animals away from the cage. But if you've actually got the rats on you for some play time it should be alright...although...the owl may be a concern. But if the sugar gliders are fine and not getting eaten it should work out.