We do not have to worry about global warming causing damage to the Human spicies.
There have been many times in Earth's past when the Earth was warmer, Co2 levels were higher, or both!
The age of the Dinosaurs was a time where Antarctica was a rainforest! (not entirle due to the warmth, some due to the air currents). Back then rainforests dominated the land because of increased co2, which were ,much higher that they are today. (as well as global temperatures). But life adapted, and the Earth returned to normal.
We have to remember that we are not orbiting a lightbulb, but a massive explosion held back only by gravity,swinging wildly from it's fluctuation, highly eratic magnetic fieilds. And that even a small change in the sun can have large effects on Earth.