There's no paradox, because your logic is flawed. Bitcoin price won't reach infinity or any unjustifiably high value, it will never consume more electricity than the governments would allow - there are already precedents when governments had to restrict mining because it was straining their energy grid too much.
Bitcoin price doesn't need to be stable, and in fact no currency actually has a stable price - it's all just a degree of volatility. So, again, there's no paradox with "bitcoin stability" and "world stability".
This is where an inflationary crypto is useful. Bitflate is an experiment in this direction. It has a moderately high inflation of 7%.
Admit it, you are just shilling for your Bitflate shitcoin project.