Well, it's still not easy, but I'll tell ya this, turkeys pay absolutely no attention to a blind what so ever. You can set itup in the middle of a field and they just don't care. Obviously I don't need to tell you how to turkey hunt, but set the deeks close to your blind, like 15 yards. Personally, I set one hen facing either to the right or left of me, and one hen looking straight at me with the jake "mounting" her. A mature gobbler will almost always circle in front of the jake staring him down. There's your shot. Good luck and post us those pics when you get him!

edit: slinger brought up a good point. I don't think the mesh is necessary for birds. Just shoot right out the window. The only precaution, make sure you don't have an open window behind you.