@freemo Can you make me an example of something that is true but unfalsifiable at the same time? Of course, not personal/subjective truth like "I like ice cream".
I am quite aware of the troubles science has with the falsification of many hypothesis, but I don't want to get too sidetracked here.
Personal evidence is a good starting point, but doesn't get you far. As you say, it is just healthy for others not to believe you, and the person who experienced it should be wary of it too. We are easily tricked by the simplest optical illusions or cognitive biases.
I try to approach religious with an open mind, but frankly I never heard a valid argument which was beyond the "I believe it without evidence because I want to", which is fair enough, but still quite a dangerous ground as you may be basing your ethics on it.