I think you can make the exact same argument about any form of money. Fiat currency is definately has some religious aspects.
Actual currency - crypto-"currency" which misappropriate the term - doesn't increase in value transferring wealth to the earlier adopters, that's why currencies don't mimic Ponzi-Pyramid schemes. Currency is tied to tangibles of a nation and the intangibles of trusting that society is stable, meaning the value of the currency will be relatively stable.
faith is the foundation of any economic system
Faith in that someone giving you $1 means that you trust you'll be able to spend that $1 for something of equal value?
from the time it was given to you, yes
"In God we trust"?
That's a marketing statement - doesn't mean currency is a religious structure.