Can chickens safely eat rabbit manure or the compost made with it or not?

I have 3 rabbits who live in their own dug out tunnels with a fenced in area above ground and a hutch~ (spoilt) and now I've added chickens to the land. The compost pile ismostly made from cleaning out the rabbits plus kitchen scraps and is super rich in worms and grubs. I want to create a system where the chickens get the majority of their dietary needs from a compost pile, and also benefit from all the scratching and training they'll do. I've seen that some people have kept both animals together but details of poop contamination are not clear, and I've also seen it said that Pasteurellosis from rabbits can manifest as cholera in chickens! One of the rabbits (albino) has had a stuffy nose for years but she's healthy. But this knowledge is niggling at me incase it is mild pasteurellosis.
I'm new to chicken keeping and have got alot to learn, I don't want to make them sick. I was considering starting a separate pile just for the chickens from wood chips, leaves and grass on the terrace below and I may well do but even so, as the chickens can range to within rabbit droppings distance~ (they tend to send it flying everywhere) I'm wondering if I should not set up the chickens so close? Anyone out there with long term experience of keeping the two creatures together or on compost feeding containing rabbit poop?? Any info gratefully received.

Rabbits are ruminants and, as such, don't fully digest the food.  I've had chickens eat fresh and somewhat aged rabbit pellets.  Not what I planned, but they liked eating some.  

What I've learned over the years is that, given options, animals are very good at eating what is good for them or what they need at the moment.  Give them a variety and then don't stress when they act like chickens.