It's just like drugs, if the demand is there someone will take advantage of it. The only way to really stop it is if we stop buying that wood. They've put every law they can think of on the books to stop drugs. Is it working. Not in the least and it's costing us billions of dollars. You have to go to the source, us. When the people stop using, the drugs dry up.
When you can convince people that it's morally wrong to buy from sources of illegal woods, and you make it easy enough for them to find out, the illegal sources will dry up. I know I'm guilty of what I'm about to say but have you asked your wood source if their wood is from a sustainable forest and cut legally. I haven't. I guess I just assume that my friends I buy from or stores like Woodcraft do so. I'll admit however that I've never researched it. I don't use very many exotics but even at my small level, if all of the 15,000 or so AAW members all use the same small amount I use that amounts to a lot of wood, and potential profits for the illegal trade.