Take a look around your house. EVERYTHING you see has been logged, mined, or farmed.
We, as a species, are consumers. We have to consume responsibly, but we are consumers nonetheless.
I don't think that the bow industry even comes close to a percentage of the total consumption of exotic woods. Look into the furniture industry and the custom home industry. I hear talk from "environmentalists" all the time. These "environmentalists" are generally the folk who live in a house with enough lumber in it to build 3 decent homes. They always seem to have exotic wood in their chair rails, their wet bars, their murphy beds, etc.
Always willing to show off their home, yet it is evil to harvest the trees it takes to build them.
I'm all for using something different for my bow material, however then we switch from logging to mining. Where do you think the base material for fiberglass comes from? Carbon?
No matter how we slice it, we are consuming something from mother earth. As the population increases, so does the consumption.
Does the answer lie in stopping our use of these materials? No. We will always have a demand for these materials. The answer really is a proper management of the resources. Unfortunately, this isn't likely to happen in these poor third world countries. They will just sell the material to whoever will buy it.
The only way to make it quit being that way is to share the wealth a bit.