When a person's mind is so degraded that they are no longer connected with reality and when they have become such a burden that their continued existence does more damage than they ever had to offer in positive contributions, it is time for that person to pass away.
That's why I believe it is time to euthanize Sarah Palin. I would typically say that someone with resources should be allowed to employ any available and legal technology to extend their own life as they choose. When it's no longer a question of whether a person will die but when they will die -- when death appears imminent, we should look to help them strike a balance between extending life and allowing them to die with dignity and without too much unnecessary stress. Each person should be allowed to decide for themselves, within reason, how that balance should be struck. This general framework remains equally valid even as individual options, such as euthanasia or the world's most expensive hospice care, are removed from the equation by ethical and practical considerations.
I believe this general view is shared widely among reasonable people. But I would hope as a civil society, we can all agree to make an exception in the case of Sarah Palin.
P.S. This was originally intended as a joke, but I have since realized that the logic here is more sound than anything ever heard out of Palin's mouth. It makes me wonder whether I should adopt this as a legitimate way of thinking about Palin. Then I realize the argument is flawed and more than little scatter-brained, so I must reject it as the nonsense it is. But isn't it elitist of me to reject an argument just because it is logically and ethically flawed? If I reject it simply for being nonsense, then I am an intellectual elitist and a threat to Palin's ideology, but if I accept it, then I am a potential threat to her person. Either way, I find that there is no common ground to be had.