Peer review places science into the realm of scientists. However, ...
I don't totally understand, but it is true that most people alive today and certainly most who lived in the past 10,000 years believed in some kind of God and would agree with you. I know that is one of the arguments; "There must be a God because so many believe in a God."
It does bring up the question of which God. So many religions contradict one another and that makes it even more unclear. Is it Ahura Mozda, Yum Kimil, Ganesha? There are thousands of Gods and each has it's devoted followers who believe with all their heart that their God is real. Are they all correct or are they all wrong? If asked I think many of them would say that only they are right and all other Gods are the product of a delusional mind.
This is why logic, math and science have taken over the world and is replacing religion as a dominant philosophical paradigm. It is not subjective and belief has nothing to do with it. 1+1=2 no matter who or where you are. The Earth goes around the Sun even if the Bible says it does not.
It does not depend on a vague notion or "sense" of Gods presence. Those things are simply not universal in how they are experienced. When a Hindu cries at his transcendent experience of mystical joy is he delusional? Or when I stand in awe at the wondrous mysteries of nature is that different? I don't know.
"Science" of a scientist is a word. "Miracle" is a word. Some happening that acts extremely differntly than science would expect might be a miracle. Until science finds the reason for said happening, the happening might be a miracle, because science may never be able to explain it. Of course, it still might not be a miracle. Science might simply always be ignorant.
By far most of the REAL science that exists doesn't explain why and how the universe exists, or what is behind most of the operations within the universe. Thus, when scientists or others hypothesize or otherwise make suggestions for things not known as fact in science, they might be using the scientific method if they do it properly, but until the hypotheses become proven fact, they are science fiction even if they are part of the scientific method.
To state it directly, most of the major scientific theories - things like Big Bang, black holes, inanimate-to-life by evolution, age of universe, chaos theory, stars operate by nuclear reactions, non-hollow earth, etc. - are science fiction at the same time that they are part of the scientific method.
The point is, most of the major ideas about basic stuff in the universe can be consigned to the position of science fiction. Until it can be explained, much of it can be consigned to the position of miracle, simply because we don't really have any even near plausible explanation for it.
Because of the things pointed out at
https://bitcointalksearch.org/topic/m.10718395, even if God existed only in the realm of fiction, science is proving God more and more each day, even if it happens to be the science fiction part of science wherein God falls. Simply because the "God" hypothesis is seldomly stated in popular public scientific gatherings and announcements, doesn't mean that it does not exist. Because so extremely much of the known universe is unexplained, the God hypothesis is the greatest of all scientific hypotheses.
The greater point is, most of what the universe is made of, and where it comes from, and how it came into existence is entirely unknown. The multitudes of unknowns can be explained by God as they have been for millennia.
The above, also, explains which God... the REAL God... the one that exists in our inner being... that we feel as we exist as part of the unexplained universe.
The major evidence for the existence of God that I left out of my above linked post is, the odds. According to the way the universe operates (entropy), the odds are extremely against something like life ever happening. And the complexity of life as it exists is impossible to the extreme... according to the odds.
Which God? Find the one that defies the odds in any of the religions. That's the REAL God. To my way of thinking, not only does the Judeo-Christian God fit this category, but the Bible, itself, fits the category of not being possible to exist. Of course, one can only see it if he/she examines it in detail... from the history of how it came into being to the quantiy, quality, scope, and depth of information within it to the traditions of the nation of Israel regarding it to the fulfilled prophesies within it, etc.
As it turns out, scientifically speaking, the universe is far less likely to exist than God or the Bible.