As I said,if you don't want them to go extinct you can put them on animal reserves or sanctuaries or care for them like dogs and cats on a more individual level, however.. You're saying they'll all die, which is not true. People will care for some, yet your alternative is to perpetually enslave and murder them? That doesn't sound like a great solution to me!
Look. You argue that Africa lives off of livestock, but.. it takes way more land, water and resources to raise livestock, when you could just grow the plants yourself and eat them instead of fattening up animals with them first.
Even people in ancient times knew this, that animals take more land, resources, water, time, etc than just raising plants. So that's not a good argument either in my opinion.
Just cause winter comes along doesn't mean you can't sustain on plants, you can preserve them, and nuts and seeds last ridiculously long even without the preservation methods.
Look.. People since ancient times have lived without enslaving animals, it's not impossible, it's actually more healthy for you, you'll get more food, and less disease, and the animals get to live, plus the planet will be better off cause animal agriculture is destroying the planet.. Ultimately.. You keep doing it because you choose to, and because you believe there are good reasons for it.. When, people have shown for thousands of years we don't need to kill and enslave animals, and we're usually healthier if we don't. Biologically and spiritually.