The realm of the unknown and the unknowable shrinks as our tools advance but there are very good reasons to think it will never disappear as there are both provably unknowable truths amd facts that are practicaly impossible to learn.
> Faith takes over there, where just believing something irrational to be true, makes it true.
This only applies to a limited set of things (the unknowable), getting enough people to believe the world is flat won't make that a true belief, no matter how many people have how much faith.
The types of things that faith can make true are subjective, sociocultural or related to our inner lives.
> Unfortunately, the scientific method is a bit annoying sometimes, given it's absolute insistence all things may be disproved.
In no way, shape or form does the scientific method suggest this, let alone insist on it.
There is a long history of faith pairing quite productively with the scientific method. The network of scientific knowledge is primarily drive by one thing: curiosity, not any sort of animus against the mystical.