>had concrete scientific evidence that climate change wasn't man-made. (It's a thought experiment, so humor me for a moment.)
I think that there would be a rush to find out what process was causing climate change and to develop mitigations for that.
In fact this is a kind of worst case - AGW has a silver lining; we are doing something to make it bad. If we stop doing that then it will go away (slowly). That's all we have to do (at the moment) - just stop it.
If the kind of radical climate change that we are seeing were being caused by a natural process we would have to take action to counter that. Also we would have to contemplate the idea that the process might not have a human scale end - for example the sun could be warming the earth by 1'C extra every decade for the next million years. The earth would be heated by an extra 5'C in our childrens life times, and 15'C in our grandchildrens.
We know there is a hard stop on AGW. The earth warms by 4'C and civilization disappears (along with most humans). Sure, it takes 500 years for carbon to fall back to "normal" and it's debatable if the climate resets or moves to a new stable state. But in the end, 500, 5000 or 50,000 years from now this to will pass, obliterated by the glacial beat. A natural process might simply cook life off earth.