I doubt whether that will be possible as science tends to be a method based upon a tentative subjective interpretation of objective evidence and tends to be outward looking, whereas religion tends to be a subjective interpretation of inner experiences which are often projected outwards e.g. on to a multiplicity of gods and spirits. The yogic kind of spirituality tends towards attempting to reveal the subject 'I' using methods to transcend all subjectivity e.g. by promoting inner stillness. You mentioned 'consciousness' and it might have been better to have titled this thread 'Brahman' and related it to Vedanta's association of it to the Sanskrit 'Satchitananda' (Being-consciousness-bliss) rather than the word 'God' with its western connotations.
The idea that science and 'spirituality' are in some sense engaged in the same project, i.e. understanding the way things are, is presumably a fairly recent phenomenon because we haven't had scientific method for all that long whereas religion has been around for millennia. Prior to the advent of scientific enquiry religion filled the ignorance gap with beliefs, stories that helped make sense of human life, but this had little to do with the quest for knowledge as we might understand it in science.
Perhaps now that some people see science as trespassing on religion's turf in offering explanations for how things are there is a desire to re-imagine religion as a truth-seeking activity. But this tends to lead either to a dismissal of one or the other, or to some attempt to treat them both as if they are playing the same game - if on different pitches - even to the point of arguing that ancient yogic insights can fill gaps in modern scientific understandings and scientific theories can be recruited to bolster traditional religious claims. We see this with Sriram's attempts to splice modern science and traditional Hinduism together, and western approaches to Buddhism are commonly quite explicit in their (I think wholly unfounded) assertions that meditation will bring revelations into the 'nature of reality'. There is an entire genre of popular new age books devoted to examining the purported links between quantum physics and spirituality - I remember reading some of the early ones like 'The Tao of Physics' nearly 30 years ago.
I was puzzled by your claim that yogic methods sought to reveal the subject 'I' by transcending subjectivity. Wouldn't transcending subjectivity by definition remove the subject 'I' altogether? Buddhist yogas, of course, deliberately seek to expose the voidness of any foundational self. In such pursuit 'inner stillness' is generally seen as a necessary but not sufficient tool. Maybe it's different in Hinduism.
