Subjectivity of Personal Experience

Hi, I am completely alien to forums like these, but several years back I would have sought them out actively had they existed. I am the portrait of the internal struggle of the simple obviousness of Atheism versus an inherited Roman Catholic dogmatic belief, and I spent the early part of my adult life and the entirety of my academic career weighing and examining both sides. Direct personal experience has solidly landed me on one side, and I feel it is my personal responsibility to field any questions relating to what I may have gone through. Some may say I have no place on a forum titled "AthesitDiscussion" but I would disagree.

I don't mean to offend anyone, but over my years I have found that a staunch Atheist and a staunch "Theist" who have any salt about them ultimately come to the matter of, "This is your personal experience that is more real than anything anyone can attempt to tell you about, and there we are at an impasse." Does this still ring true? Does a man of status who swears up and down from personal experience to either the lack of or existence of God matter in the modern discussion? I am truly fascinated to know. Does the black swan argument have a place here? Please respond with any thoughts you have, I would appreciate it.