Further, of all the science done on CAM (Complementary and Alternative Medicines), only a couple of studies have shown a positive impact.
I don't doubt Kurzweil is a smart guy. However, there are plenty of smart people who have had theories like this. Eg., Linus Pauling and Vitamin C megadose theory. (see wiki for more info).
It may not seem like there's a stretch. But your perception of the logical continuum doesn't really matter. Most supplements are nothing more than snake oil. (Again, assuming you have an otherwise balanced diet).
Also, you have a fallacy -- eschewing certain foods is removing potentially harmful nutrients from your diet. Why would it logically follow that adding something would necessarily confer a health benefit?