I was with you up to the point of having a personal experience of 'this feels right'
But what you just said sounds like you are saying that if we think to much then we won't sense this. Or You have to turn of your brain to 'understand'. (no offence intended)
This may not be what you where trying to say, but that was what I got out of what you wrote.
I respect your sincerity, Lunakilo, it is not easy even to describe, which I think is why it is such a fascinating topic.
Logically, it doesn't matter how many times someone tells you there is a monkey in the cupboard, it is just an idea until you open the cupboard or see the monkey for yourself.
My point is that for thousands of years people have been talking about 'god' but until it becomes personal then it is just an imaginary monkey in the cupboard.
The question becomes, when is it no longer imagination? The answer I propose above, is when it is becomes personal: a sense which feels right. No one can take that away and no matter what I do, I cannot deny it; I have tried and I even through my conviction to a public forum for ruthless scrutiny. lol.
There are two main ways, either to investigate logically and philosophically, using ideas until all the questions have answers. Or to stop thinking as you say. To stop thinking then meditation is key, because it quietens the thoughts and you see that you are that which has thoughts. In my opinion worship does the same thing, praying 5 times per day.
Best still is to combine them both. Try to understand the philosophy or the scriptures, for example, and also mediate, pray, sing, because that will let you get behind the thoughts (mediation) and understand why you are doing it and remove doubt (philosophy/scripture).
I should add, that although I say "you", I am not promoting a religion nor do I want you to do anything, I am just describing how I understand my religion and 'god' because it addresses your question. I have no interest in proving or promoting anything, just interacting