Fence/Wall/Glass Pane Problem Fix Idea

Make it so fences can be unattached to an item. Fences attaching to eachother (obviously) and to certain other blocks is very convenient, however, it's an eyesore when a fence or wall attaches to, say, a tree or, in the case of window panes, interior decoration. To fix the fence problem, my idea is that we should be able to right click on it with an axe to unattach it from any blocks we see fit. With walls, same deal but with a pickaxe. Glass panes? Perhaps add a class cutter that can be made from, say, steel or copper. I feel this will improve the game aesthetically and make building less frustrating.