It is very relevant, because you're under the delusion that every dollar bill represents a portion of debt, which is not true if the government issues money that isn't owed to anyone.  Your argument suggesting that the current monetary system isn't based on faith is simply incorrect.  It functions as long as there's trust that the government acts responsibly. 

In Bitcoin there is nothing that can be corrupted, that's why it has captured widespread interest.  It represents a wholly novel and innovative monetary system.  Your difficulty in grasping it comes from denying money existing without debt.