I'm not familiar with the term oversoul, but I am familiar the what I believe are related concepts: the unity of all things, and even Jungian ideas about collective subconscious.
The view that we are atomistic, individual, bounded by our perceived physical limits--that I think is not sustainable.
I am very much a 'science person', but there is nothing in science which negates the concept of oneness. It's just that, the concept cannot be proven, so therefor has little value for most people beyond speculation.
I have my beliefs and experiences, which I can prove (demonstrate) to no one, therefore I ask no one to accept them, anymore than I ask anyone to accept this religion or that religion.
However, there is no question in my own, subjective view, that we intuit each other to one degree or another. This I believe from experience--not dreams even, but actual waking experience. Can't prove it. But I do believe it.
Yes, this would be a lively discussion and one that would go nowhere, because if we agree with each other we will continue to agree, and if we disagree there is no way to disprove either view. What would be the point?😁
Hope you are having a wonderful day with your beautiful family.