This warrants a more thorough treatment of the topic of "organic" horticulture :-).
The purpose of organic horticulture isn't to limit one's exposure to chemicals. In fact, "chemicals" (sometimes harmful ones) are permitted in organic agriculture, as long as they are obtained from natural sources. I have an array of ORMI listed products which have CAUTION labels on them and require me to wear protective gear to limit my exposure. Moreover, I've seen OMRI listed products bearing the signal word "DANGER" (the highest of the caution / warning / danger sequence). I personally don't use them, but they are out there.
Further, it's an accepted fact within the scientific community that organic foods actually possess more carcinogens than conventionally grown foods. Bruce Ames (the guy who invented the popular test for carcinogens) first published this finding in the late 80's. The reason for this fact is intuitive: organic produce is selected for its natural ability to withstand predators (natural pesticides). This is great until you realize that these natural pesticides cannot be washed off (they are systemic to the plant), where with conventionally grown produce, pesticides are surface applied and can be washed off.
So the goal of organic horticulture is not to limit one's exposure to carcinogens. It's sustainability and preservation of the global environment.
I personally prefer organically produced products, since they tend to be produced with more care. However, in today's industry, where one can find USDA Organic foods at WalMart -- which are produced under the same goals as conventionally produced food stuffs (to line the pockets of shareholders) -- buying organic doesn't always mean better quality. So, I tend to buy "artisan" type products, where attention to detail can still be found.
And, in my garden, I use organic farming practices -- because I believe it's the right thing to do. For example, I use tree trimmer mulch (over 1,000 cubic yards at this point) to provide nutrients to my plants over bagged fertilizer. If I need to utilize a pesticide, I look for the most bio-friendly product available.