It all comes down to what you consider to be reliable evidence. Obviously, as you have just stated, there are experiences you have had that you consider evidence for the existence of a god, presumably the Christian god.
The difference between a person that experiences this possible evidence and forms a belief in a god versus a person who has the same experience and does not form a belief in a god is the intriguing part to me. To believe or to not believe is often determined by the way the person interprets the "experience".
Those "interpreting/critical thinking" skills are often shaped by such factors as how and where we grew up, what our parents believe and passed to us, peer pressure, cultural/societal sway, emotional response to dramatic experiences coupled with an understanding or misunderstanding of statics and probability, causality and correlation, and other factors. Combine all that with the fact that we often apply our critical thinking selectively, depending on the topic.
My point is (and I'm not trying to judge your personal experience), we often come to subjective conclusions to things that are objective in nature and can be figured out with chalking it up to a higher power. It's human nature.
In my opinion, the definition of religious faith is a strongly held belief without evidence at all or with subjective, possibly unreliable "evidence".
A true knowledge of God is based upon divine testimony which is accepted by faith, but which is also confirmed for us by evidences of various types. The testimony of Scripture about such matters as the work of Christ on the cross and justification by faith are things which can't be proved; they are accepted by faith.
The Bible acknowledges the reality that many people will not believe no matter how compelling the evidence. Remember the story in Luke 16 about the rich man who died and suffered torment? He begged Abraham to send Lazarus back from the dead to warn his brothers about what they also faced. Listen to the response. Abraham said, "If they do not listen to Moses and the Prophets, neither will they be persuaded if someone rises from the dead." A determined will can ignore the best of evidence.
Unless we are talking about proof in the mathematical sense, we need to note that proof is person-relative; what will convince one person might not convince another. This doesn't mean, however, that Christianity only becomes true when someone is convinced. It's true whether anyone believes it or not.