Climate change isn't a western problem yet. We are going to be rich enough to buy our way out of most problems, though the cost means future generations will not be quite as wealthy as we are now. However....
The inevitable consequence of climate change is going to be war, lots of it. Pick up any history book and it all comes down to a competition for resources.
There's been certain exceptions....the US has acted as a global policeman and the EU has succeeded in stopping another general European war, since 1945, both by guaranting open trade. But none of that is guaranteed to last forever.
China is on its way out and its going to get very hard on the Indian subcontinent. Sub saharian Africa will be totally destabilised but tat won't affect us. The South Americans will all go to war with each other but again nothing to do with us.
But if the US falters, or the EU fails? All bets are off for us.