This actually happened to me, and I think the OP question is an excellent one.
I have had several events happen to me that I would consider miracles, or supernatural in nature (although I dislike the term supernatural as it implies something not-natural lol), etc. I've typed them up before in posts (probably last year) so I won't type them again (if someone is interested, I'll look for the links) ... anyways those events at times have involved manifestations and/or communication with what I would recognize as "God".
For the sake of the post, assume I'm not delusional, and that regardless of your stance on such matters, assume for a moment that I actually did witness and experience SOMETHING ... something that may not have a simple Occam's Razor explanation.
The obvious question is "Well how do you know that it's God" ? Why not an alien, time traveling humans, etc and so forth ? Because realistically, even if a being appeared before you, performed a miracle, and said, "I'm God" ... there is so much ambiguity and claims concerning that term "God" throughout history, how would you know this really was "God", and even if it were, are there others ? How would you know if it was lying or not ? Suppose you had five such beings, all a little different, suddenly appear and all claim to be "gods". Well, how would you know which is which ? With nothing to compare them to, how do you know *what* they actually are ? Even with written accounts dating back centuries, still ... how do you know they aren't lying ? At what point would you accept their own claim about themselves ?
Personally, I think ANY sort of entity that showed intelligence at least equal to or surpassing our own, that was dramatically different from any known organism, would require a level of faith and belief in order to accept their claims about themselves. The idea of a humanoid alien appearing in a spaceship of some sort, and telling us what system it's from ... would still require a level of belief, but would be more easy to accept because we can RELATE to it. We can relate to space travel, and advanced technology. Plus, it's humanoid. However a being that would be dramatically different from us, would involve Arthur C. Clarke, it would be indistinguishable from "magic". It could claim to be a god, alien, time traveler, whatever ... if we had NOTHING else to compare it to, it would require a level of faith and trust. We would either accept it's claims, or substitute our own.
Which brings me back to my own experience, and one of the reasons I brought it up.
There have been a few times in my life, when I experienced those specific "miracles" and supernatural events which I concluded and believed involved "God", where I experienced a strange response from my own physical body. I realize I'm going to describe "feelings" here, but please know that in my experiences I am not referencing "feelings" alone. I wouldn't waste someone's time with "feelings as evidence" esp in this forum lol. However, I do want to bring up this response from my own body:
I experienced my body respond, almost like instinct, to an "Alpha" type of presence. And not just any alpha, but like, THE Alpha.
Most all of us can relate to how we respond to different types of personalities. Some cower in the presence of certain types of people, or get nervous, or get star struck, or get confident, some we naturally lead, others we may find ourselves wanting to follow. We respond certain ways around the opposite sex, or other animals ... both domestic and wild. I mean, we have certain "natural" responses. Like instinct. And I've been around wild predators with no fence between me and them ... predators above me in the food chain (lions, cheetahs, etc), so I know the raw reaction of being those circumstances as well.
What I experienced the few times I've experienced that "Alpha" presence I would attribute to "God" is different and unique in every way from the way I respond to humans, animals, etc. It's as though a part of me is responding to something original, foundational, fundamental ... as though I'm responding to the Apex being of my species. The "first", the originator. I would describe it as part of my own instinct that I didn't even know was there, suddenly coming alive, kicking into action, and perking up in the presence of such a being. It's more than being drawn to such a presence, it's literally like responding to it. It's hard to describe, because there is nothing else like it. There is nothing else to compare it to directly, only indirectly. There was a presence of what I recognize as "God", that invoked an almost instinctual response from me, as though I was recognizing the unique alpha of my species.
I've known some others who have experienced that as well, and so I may argue that "How would we know when we are dealing with "God" " ? ... perhaps there is a specific type of presence to where your body responds in an instinctual manner, to where it's not about knowing, it's about responding and recognizing that clear and obvious response. Like any animal that recognizes certain things instinctually, viscerally, primally. Your body will respond accordingly, it's not a mental issue. How will you know when you are on fire ? How will you know when you are drowning ? How will you know when you are underneath a bus ? How will you know when you have been bitten by an animal ? Etc and so forth. It's not necessarily a mental issue primarily, that is secondary. Your body will respond primarily, perhaps, if a specific presence and experience is presented.