Not to mention, at +5C it is all but certain shallow methane hydrate deposits (those stabilized by temperature, not pressure) all over the world are now outgassing CH4; not to mention several other similar tripwires, and likely not all of which we've even identified.
Edit: I can't seem to be able to reply to your comment below, not sure why. You're absolutely wrong about those Siberia figures, and they're not supported by current scientific consensus.
it only takes a few days (or hours) of above wet bulb temperatures to kill humans who live in and around the tropics today.
Still, this scenario is quite different from human extinction, which is what I was responding to further up.
We're also talking about a time span of 100-300 years. Keep in mind how much more efficient farming is now compared to even the 1950's.