Religious thought is not as monolithic as you present it as being. People have reported a wide variety of religious experience. I see no way other than divine revelation that you could know anything about the quality of the religious experience of every Christian, Hindu, and Navaho over a span of thousands of years. I would say the same thing is true about religion. Your claim about the limitations of science is a strong claim.
Strong claims require support in terms of evidence and cohearent supporting arguments.
That's just plain wrong. Scientific theories are never proven right. They can only be considered well corroborated after they have survived numerous and varied attempts at refutation. When the theories are incompatible with the data they must either be rejected, modified to incorporate the data, or the data itself must be re-evaluated for accuracy.