All in all, practically speaking, I don't think it is worth it unless you are extremely serious about TEOTWAWKI events.
My family owns a small farm house in Oregon, where my step dad takes care of rabbits and chickens. The chickens stay in a large pen, they are pretty easy. The rabbits were raised in pens and eventually let into the wild, where they now support a healthy population of dirty fluff-balls. It took a a good handful of dead fluf-balls for them to adapt to our climate and live mostly on their own. It involves feeding to keep them dependent and localized, which in turn involves shoveling lots of poop. It also involves reinforcing the fencing of any kind of garden you may have. You also have to constantly watch for predators (which will now be more drawn to your property, and your chickens). Waking up in the middle of the night to shoot at coons... How often do you think you would eat a rabbit?
When my step dad started the project, his selling point was rabbit stew, survival food, and the like. We have yet to eat a rabbit. A friend's dog killed one, so we made him eat it, but other than that, it has been all work and no play.
In the meantime, we have been eating lots of fresh eggs...
Your call.