You know, in soils class our exit exam was to find a way to organically feed the world. Not one person could make it work given the available land and what that entails to grow crops how we define organically and how we produce crops organically. And we had some smart people in there as well. The conditions that we had to work in were also known conditions at the time. We did think the deck was stacked against it, but it wasn't based on what we knew when we took the exam.
Ironically, the seeds (and plants) that people get for their garden here in the states are generally GMO as well (especially the ones that are resistant to aphids). It does occur naturally, however, not to the scale that we have in our plants and it would take a long time for natural reproduction to make those traits "dominant".
Also, if you subscribe to global warming, going to make it even harder to use organic and natural means as well. Not impossible, but it'll hurt that's for sure. Of course, the one upside you could argue is that previously unused land will now be available and hopefully, offset what was "lost" or not as fertile as it once was.
I'm not against organic foods, contrary, I would prefer it. Much better for you, but the "technology" that we have for organic growing doesn't have the same level of impact. Can't try to make food available for a huge population and have it organic at the same time at this point. There will be hurt going on.