Look at the prevalence of Alzheimer's as a function of age:

Until you solve that particular problem, transplanting brains seems to be pointless.
This is consistent with 27chaos's statement, though. If you get a body transplant at 65, you have solved a number of medical problems, and the chance of living the next 30 years without having to worry about Alzheimer's is ~70%. Of course, Alzheimer's disease accounts for only 60-80% of cases of dementia. But still, I think there would be a market.
It is also worth noting that cardiovascular factors, physical fitness, and diet contribute to the risk of dementia, including Alzheimer's. These are not the greatest risk factors (as you might have guessed, age ...
Another month, another rationality quotes thread. The rules are: