Cooking with ground rabbit
I've never seen ground rabbit, but I've eaten rabbit many times in Spain grilled in the BBQ or in a Paella. Rabbit can compare to chicken. The meat is a bit tougher than chicken but not gamey at all. At least the farm rabbits I ate. 

So I would say that yes, you should be able to use this ground meat as a substitute of chicken in a sauce and I don't even think that you will ever notice the difference.

If you are going to make hamburgers (and I would do just to be able to say that I ate a rabbit hamburger), maybe you could mix the meat with chopped onion, breadcrumbs and egg to make it moister.