Now, with automation and 3D imaging technology we can have a specialist specify what to change and let a computer design a series of discrete non-invasive attachments that allow a home users to quickly attach and remove their implant. It's far less painful, takes less time,can far more precisely preform complex work like rotating a tooth, and the only downside is it costs about the same amount as braces. Note: This is an actual company not just BS (http://www.invisalign.com/Pages/default.aspx).
PS: I still occasionally see a teller for complex interactions, but I trust an ATM to be far more accurate for my day to day needs. And there is still plenty of work for orthodontists, but a lot of the simple stuff is simply better handled by a machine.
As to programming; I don't know a lot about how the software works, but advanced users in front of really complex software like Excel and Photoshop tend to blur the line between a Specialist and Programmer.
What about when robots become more effective? Drastically more effective?
I would not let a modern day robot work on my teeth, they are too stupid, but I can imagine a day (fairly soon) when this will not be the case, and my gut reaction will start to be the exact opposite: I would not let a human being work on my teeth.