I would never describe myself as religious, but I do have a Christian faith which is pivotal to my life.
I would argue the opposite - that the discipline of science has a very narrow selection of truths which it is willing to accept. If something is not repeatable in an laboratory situation then generally within the scientific discipline it has to be ignored. If something cannot be 'proved' using accepted techniques then it has to be ignored. That is not a judgement of science, just a statement of its nature.
'Religious' people are willing to look beyond that and also embrace what they consider truths which have been discovered in other ways.
cariad