We definitely have that problem, but I think targeting meat and dairy should be the first targets to cut subsidies. They're the biggest offenders. Put that subsidy money towards creating and marketing plant-based alternatives.

Plus, since a good amount of corn goes to animal feed, you'd be reducing the demand.

I don't see how you'd be able to convince farmers to not farm, though. Even if you paid them to not farm, they still want to farm. Nobody does it for the money. (Except corporate farms, of which there are a lot, and they'll find ways to both not farm and still make money off the land, like haying or logging.)