I don't know the source other than Elon Musk stated it in one of his presentations, but according to him we have five times as much fossil fuel reserves as we would need to utterly destroy ourselves with climate change. If that's right, waiting until we run out is not a solution. I realize the context was mentioning some speculation that we could push the timeline out some by planting trees. That speculation aside, we can't just wait for the oil to run out and be fine.
I didn't intend argue we should wait until we run empty on Fossil Fuels. I just can't see any way in which we'll still be consuming them in 1,500 years - either we'll have moved off them, we'll have run out, or the world will have become not compatible with life (non-exclusive "or" in this case).