The fiat money system also operates on faith, but that faith is in the government so by your definition that's ok I guess. It seems that the modern left is adopting the government as their own. Personally, I trust the government about the same amount as I trust big companies, not at all. In my view the current fiat money system is a very old legalized scam around which there is quite a lot of academic contortion and opaque jargon to try to justify its existence - funded by those who benefit from it. Unwinding the scam would be political suicide as it would crush the perceived wealth of the populus.
This is not to say that crypto isn't so infested with scams that they're now inseparable. I spread my trust around thinly across many countries, banks, and financial instruments with very little of it in crypto. My hopes is that crypto will mature and become boring but useful but do believe we're still a long way away from that.