So your argument is that if someone mentions a spiritual experience they are therefore religious and ascribe to a particular religion?  Sorry that is just silly and factually incorrect.  Many prominent atheist scientists have discussed having spiritual experiences when listening to classical music or observing the cosmos.  Richard Dawkins and Carl Sagan are the most prominent.
  Here is a quote from Sagan: "Science is not only compatible with spirituality; it is a profound source of spirituality. When we recognize our place in an immensity of light‐years and in the passage of ages, when we grasp the intricacy, beauty, and subtlety of life, then that soaring feeling, that sense of elation and humility combined, is surely spiritual"