The opposite actually, at least as seen so far. Food is getting cheaper and more abundant due to global warming. Two factors are involved on the positive side, and these outweigh the primary negatives by quite a bit:
Global factor: CO2 increase in atmosphere. Chlorophyll based life would like around 1500 ppm. We're a bit above 400 right now, and from planet's history point, the plant life is starved of CO2. That's why there's no megaflora any more. But as it increases, we're getitng around 2-3% yield increases on average across the globe. That's been in part responsible for massive food surpluses we're getting.
Local factor: the highly productive double cropping belt that still gets snow and insect kill effect from it is getting bigger. In Americas, we've seen this in places like Wyoming's farm getting hilarious efficiency jumps. In Eurasia, that's been visible in significant increase in ag output in the likes of Russian Far East as it comes online. One of the main if not the main reason why Chinese have been de facto displacing Russians across the China-Russia border is Chinese farmers moving in to start farms that are now in the productive zone as it moves northwards. Same has been seen on Western end of the continent in the likes of France, where it's no longer just Spanish agriculture that double crops as a routine, though there it's slowed down by a lot of regulatory slowness and general uncompetitiveness of a lot of EU ag sector because of generous subsidy regime in place. So it's been nowhere near what we've seen in the likes of US and Russia/China.
Current estimated net increase in global food production (negatives discussed in the OP and positives discussed in this post) is around 2-3%.