Bitcoin isn't a system built on believing in faith. Bitcoin is a system built on facts truth and rules. The only belief is the belief in what can be proven to be true. Those rules are designed and exist for a specific reason. Any attempt to change those rules is a failure to understand the knowledge of why those rules exist or is an attempt to commit fraud by way of deception either by changing of the rules or misrepresenting the facts. If you have a "belief" otherwise, it is because the knowledge is bad and needs to purged from memory. Faith requires a rejection of fact and the manufacturing of falsehoods, and there is no room in Bitcoin for rejection of fact otherwise the rules could change.

The reason it feels so unifying and religious like is because we all agree on the rules. We don't agree on the rules because we have faith that's the way they should be. We agree on the rules because we have all put in the effort to understand the knowledge of why the rules even exist in the first place. Knowledge unifies society.

It is the fact that we all nod in agreement that brings us together and creates the tribe, not the belief or faith in the rules themselves. I think that might be the essence you are trying to uncover.