Factors that stabilize an economy are factors that can contribute directly to the economy. They are things like factors of production and not money, be it fiat or bitcoin.
For instance, entrepreneurship/humans can manipulate or interact with the environment which is God's gift, to grow the economy via ideas etc.
Land too as a factor of production can be used to cultivate agricultural products which are exported finished or raw products.
Labour also is very much useful. That is of different types, skilled, semi skilled and unskilled. They are all employed to see that work is carried out towards the growth of the economy.
So money is not included, also bitcoin.
I think this one catches my attention, and this makes ne believe that money doesn't really play a major role in the growth and development of the economy of a country. Thus, bitcoin would not help any country to stabilize their economy. It woukd help people in a short term, but that would not primarily affect the economy where that people resided.