The basic question is: will the rate of input-saving technological progress outpace input-depleting economic growth?
Star Trek hocus pocus aside, the pretty obvious historical fact is that input-depleting economic growth has catastrophically outpaced progress in input-saving technologies. This should be expected to continue until demonstrated otherwise. Some sort of technological miracle is always possible, and its always possible that by some miracle of international politics the revolutionary technology will be implemented effectively and sufficiently on a global scale, but its doubtful. Banking on these sorts of magic bullets is a pretty dumb basis for policy.
If history is any guide, resource depletion will continue to accelerate.
As inputs become scarcer they will become more expensive. The subsequent rise in the costs of production (buying labor, machinery, technologies, etc) will reduce the margin of profit and act as a drag upon capitalist growth. Similarly, as prices increase, purchasing power should decline which will cause consumption to decrease, creating more drag on growth as markets dry up. Resource depletion is going to make profits a lot harder to come by.
With the state of the current economy and the seemingly complete lack of viable solutions to the ongoing stagnation, you cant really bank on countervailing economic forces to override the drag created by rising input prices. It is probs pretty reasonable to predict that eventually rising inputs could push growth below 2-3% which would be, by definition, a crisis of capitalism. A frighteningly unresolvable one at that.
As far as poitics goes, it's pretty clear how the capitalist class has historically tended to behave when it runs out of options for realizing a profit within the confines of liberal norms. So the situation is pretty desperate actually. If scarcity really does have the potential to induce a serious and long term crisis, there is no conceivable path forward that won't be brutal.