Do you think running out of oil will go smoothly? We already can't stand still for 5 minutes without blowing someone up in a resource war and basically all of our resources are plentiful for now.
Rising sea levels decreasing usable land. Rising temperatures destroying key organisms in the food chain. Mass deforestation is destroying the very things that allow us to breathe.
How much climate change affects you is a function of your wealth and your country's wealth (cost of basic resources as well as required countermeasures are growing). Anyone who's been on the low side of one or both of those variables will tell you that it's already miserable. Imagine, if you even can, what being in a poor country will be like when all the oil is gone, food can't grow the usual way (you need either hydroponics or serious genetic modification), increasingly unstable weather destroys everything you build and everyone else is out to get you to squeeze out every last drop of resources you might have?
What people with no such experience don't realize is that unlike our economic system, which funnels resources upwards, ecosystem collapse doesn't funnel them anywhere. It's just an endless pit and eventually, everyone is poor.