I've believe when the Bible mentions
zoe it is talking about an experience of living that can only be found in relationship with God.
Although in one sense you can say that happy people having fun could be experiencing zoe, I don't think the Bible takes that broad a view of the word. The Bible clearly says if you don't have the Son you don't have zoe, whether you have pizza, beer and football or not. (Though all three are pretty good. Though not good enough when the Cowboys lose.
)
In one sense, however, you can call zoe God, or Jesus if you prefer.
On the other hand it includes the effect God has our existence in general. When I experience God, my human life takes on the characteristic of zoe. It becomes "the good life."
I do not think
zoe means primarily "the life force that exists in God." This is the way Lee came to mean it. Again that was a move which de-personalized God into a force or power that had effect on us spontaneously. He may not have meant it that way, but that's the way it worked out.