Meat has been a global climate catastrophe wrapped in a corn tortilla. The production of meat is literally killing us, and I'm sorry but its worth taking away traditional cuisines so that humanity doesn't go extinct.
Seems like the most likely way right now.
>Causes of climate change are fossil fuels
Yes, and fossil fuels are used in livestock production.
Through use of petrochemicals to produce feed and deforestation. 18% of GHG emissions are estimated to be from livestock and dairy production.
This article covers a lot of the usage: http://www.docbrownscience.com/uploads/4/8/7/2/4872895/food_....
I'm very skeptical that climate change can lead to extinction. Maybe civilizational collapse (I don't believe it will though), but there is no plausible path to extinction.
A lot of Mexican dishes I most readily think of are more about pork and chicken than beef.