The necessary reactions to make a photosynthetic carbohydrate production chemical pathway energetically feasible actually only exist within extremely narrow temperature bounds.
You honestly don't understand how naive you are. You're disguising hope by what sounds vaguely scientific.
Not to mention: exactly where do you think those temperate zones will exist?
I don't hang around hackernews to get insulted. It's not what we do around here.
Being told by someone that they think you're wrong isn't an insult.
If you buy the reassuring yet nonsensical idea that "the humans are fucked, the planet will be fine", you can be adequately classified as cherry-picking a minimally discomfiting worldview, against all evidence. That's not an insult.
It's chemosynthesis fueled by a continuous stream of organic silt from above and volcanic vents, not magical planetary heat.
The biosphere has already got a match in our insane devouring of habitat and industrial-scale poisoning program known as modern agriculture. Not to mention the ocean acidification, garbage patch, and overfishing. People look at me a little nutty, but I seriously think in 100 years the oceans will have nothing alive in them larger than your finger. There will be no tigers, no elephants, no bison, no deer, few or no birds.