I would like labeling because I can afford to spend a little extra to stick to my values.
Then buy a product labeled "GMO Free."
I still think it should need to be labeled.
But can you explain why they should have to label it as a GMO product, and more to the point can you explain how that reason relates to a significant property of the item iteself rather than the political considerations that you are raising?
The problem you face is that the FDA cannot identify any significant difference in the item itself. Therefore the FDA cannot compel the labeling that you want. Just as the USDA cannot compel eggs to be labeled as "battery cage eggs," pork to be labeled as "gestation crate tenderloin," etc.
You want to force someone selling a product to label it in a way that will probably be detrimental to their business based upon a political position, or at best objections to a manufacturing process. Yet those do not change the physical characteristics or quality of what you're actually purchasing. Nor is this modification/farming practice illegal (having now obtained approval). So no, it does not need to be labeled any differently.
You are free to seek out products labeled by their proponents as having been made in the manner you want. However, compelled speech violates the freedom of speech as surely as compelled silence. Whether you think it "should" be said does not change the fact of the matter until you show some rational basis for a regulation requiring such labeling.