IMHO we ARE all connected. The "divine" is everywhere AND within. All IS one.
You'll have a hard time finding religionists who have truly thought out "God"'s omnipresence to the point of making this assimilation. Oftentimes it is left as an "externalised" belief.
It is possible to systematically examine every aspect of one's live and dis-attach them. In my own case I believe (there we go again, with the self-delusion) that I am getting to the point where all that is left IS "my beloved" (as JamesThomas so aptly put it). In my own case this is focused on "Jesus" who I would describe as the very personification of "love" and omnipresence. The process of dis-attachment for illusion allows reality to surface.
Being alert to this "connection" brings forth an abundance of "synchronicity". Therein is the essence of much of what is touted as "spiritual experience". It brings us to a state of awe.
I suspect that it is hard to divorce this from the emotions, and unfortunately for some it becomes synonymous with them. So often our minds and senses fall far short of that which "IS". Hence any description of "the divine" is as worthless as the bytes they are written in.
IMHO John had a good crack at penning it. As a starting point to said "connection" (or more appropriately "re-connection", since we are all too good at creating illusion for ourselves, and I believe the Adam and Eve story is adequate symbology for this) his comments are worthy of note. Are we willing to pay the price, though, for it takes a form of "submission" of which many are unaware, far less willing to make?