I'm no cheerleader of organics and think it's foolish that GMOs are by definition non-organic. However, I buy them when I can primarily because of my concerns with pesticide and fertilizer overuse.
That's exactly my point though, organic farming is not a closed system no matter how much the public might desire to believe it is. There are some tenants of growing organics but it's not standardized nor systematic. I believe it is potentially deceiving in the worse cases. Of course the issue at hand is not organic farming but instead cruciferous veggies such as kale and broccoli but I only mention the idea because it's an integral part of Hubbard's "perfect storm":
"Now, Hubbard had what he often calls “a perfect storm”: contaminated vegetables, misleadingly pushed on the public as nutritious—and clean—leading to misdiagnosed ailments. “Where does this list end?” he wrote in one of his numerous messages emphasizing these points. “There is undoubtedly a series of similar perfect storms at work in other heavy metals and our food supply, including infant/baby foods, pet foods, and beyond.”"
Pesticides are generally not healthy. It does depend on what plant is under discussion, of course. Some are routinely more contaminated with pesticide residue than others, but some are badly contaminated (google "dirty dozen" pesticide).
I'm also completely passing over the potential ecological harm caused by pesticides.