This is so utterly silly. Human beings have been changing the genes of our food ever since we started engaging in agriculture and animal husbandry. Some of our foods are so genetically modified that it is difficult to even identify the wild plant or animal we started modifying millenia ago.
Our methods were extremely crude throughout most of history. All we could do was randomly mix up plants or animals and hope that the brand-new (completely unnatural) genomes that we came up with were useful.
Nowadays, we have the ability to target and change just one single gene—instead of tens of thousands at a time as in the past—and the Luddites come crawling out of the woodwork.
In a few years, people will be looking at the fearmongering over targeted, limited gene alteration as being as quaint and silly as we now consider the fearmongering over electric lights.
Can you be more specific as to which foods you mean? I'm not anti-GMO, just curious.