They're also not even the same category. Organic vs. non was about what kinds of chemicals amwere allowed to be added. Herbicides, pesticides, that kind of thing. GMOs are about whether a certain technology was used to genetically engineer the plants (artificial selection vs. the techniques of molecular biology). But they get all mixed up together as a result of marketing and a public that does not receive information any other way.

There are dangers with GMOs but they're about farming sustainability and corporate power, particularly the use of IP law. The food itself, so far, is perfectly safe.

Also, organic food is not necessarily safer. You can still put fertilizers, herbicides, and pesticides on organic crops, you're just restricted to the use of certain kinds. You still need to wash organic produce to get rid of potential residue.