I think these three subjects taken together may fit more into an oval idea rather than a circular one.
That way, two opposing arguments could be closer together than two other opposing arguments that would be obviously further apart, but that would upset the equilibrium of your theory, wouldn't it?
The whole reason for debate,(in a broader context) if looked at in an unbiased view is not conclusive. So therefore in a way arguments could be seen to be fallacy, logic, circular reasoning (what theories are not?) and 'perhaps' the way forward: stepping outside the perimeter of the 'said circle' consider the merging of the circles, looking beyond 'the circles'? the relationship patterns between arguments at different points within 'ovals/circles' (religion, spirituality and science)
I thought that jjjjanne's question was pretty meaningless to begin with, and the subsequent waffle seems to have confirmed it.
Did you mean, jjjjanne, that each of the three could be seen as a circle, with those circles overlapping so as to produuce common areas?
If so, the the answer is no. Religion and sprituality certainly overlap, but science has nothing in common with either.