What remains of humanity will be safely cocooned inside the biomechanical membrane between the chaotic outside world and whatever environment the compute prefers. The perspiration of its leviathan breaths and a circulatory system that pumps coolant will ensure the temperature differential.
Like how single cell organisms were engulfed into multicellular organisms, so shall our descendants be engulfed. Countless immobile interconnected bio-systems with humanity as its ancestor. They'll less adaptive than us but more optimally specialized. I wonder how recognizable humanity would be when we're tessellated into one large interconnected amalgamation. Furthermore, I wonder how many generations we have left where we'll still need a face and outward looking eyes. Skin cells don't need flagella after all.
I mean, of course. I also worry about French Revolution and WWII less then people who had to live it.