Being a tradition fan, when I turned to Buddhism (a long time ago) my first interest was Tendai (this was tied up with my martial arts studies.)
Looking again recently, I took another look at a teaching specific to Tendai, the Three Truths:
1) The Truth that all phenomena is empty,
2) The Truth that all phenomena has a relative (albeit temporal) existence,
3) The Truth that both are true at the same time – this is known as the Middle.
The first truth is a well known Mahayana teaching (sunyata). All appearing phenomena (including us) are a compound of many different elements, causes and conditions. We are not entities that exist outside of or apart from everything else (as the 'I' would have us believe).
We are dynamic, in constant change and flux, and very much interdependent with all other phenomena. We are contingent, and we are ephemeral. We cannot say there is a permanent 'I', nor can we say that 'this' is who we are, because that 'I' is always changing.
Therefore our consciousness is part and product of the ephemeral, much as some scientific commentaries hold.
So theism obviously holds that 'God consciousness' is something of a different order to human or corporeal consciousness. God is only conscious in analogous terms.
Objectively, there is no correlation between God and the appearing world — no two things are more unalike than these — The one is Absolute, the other relative; one is Infinite, the other finite, one is Eternal, the other ephemeral, one is Formless, the other formal, one is Uncreate, the other created, one is Changeless, the other contingent and conditional, and so on...
The second truth is not often heard in a Buddhist context – that there is a relative existence. Things exist in their own right, but that existence is both provisional and conditional. All phenomena, including us, is temporary, dependent on causes, conditions and the interconnectivity of all other phenomena.
The third truth, known as the ‘Truth of the Middle’ — which corresponds to 'the narrow gate' (Matthew 7:13-14, Luke 13:24).
(Aside: For those into symbolism, there's a really interesting text on this: Numbers 22:21-35)
The Middle says that both truths co-exist at the same time, and each is true to itself in its own domain. All phenomena is, all phenomena possesses its own being (its esse of 'is-ness' as the scholars say), but it is empty and temporal at the same time, being caused from without, appearing for a while in the world, and then disappearing.
The overarching understanding is that the Three Truths are One Truth, as the one contains the three and the three contains the one.
(This is so close to Trinitarian theology)
The first contemplation on emptiness is to overcome the wrong view of permanence and to understand our relation with all phenomena.
The second contemplation on the relative is to overcome the wrong view of nihilism – the idea that because all is empty then nothing matters.
The third contemplation is to keep the mind and ones views balanced, to understand one in three-three in one and realise our true nature.
Theological speculation:
There is much discussion on the nature of the soul.
I would suggest the soul is life, and life is the soul – there's plenty of evidence in the Hebrew Scriptures for this. If a thing lives, it has soul, indeed, if a thing has is-ness, then it too has soul.
The soul is often described as the mirror of the Divine.
So we have two things — the mirror, which is the soul's 'isness' — its purpose is to reflect, and we have the reflection, which is not the soul, nor any part, neither in substance nor essence, of the mirror. What the mirror reflects (or should reflect) is the prototype or blueprint image of its existential being, as that exists in the Mind of God — what the Greek Fathers called the logoi. Here is its source and origin, and its end. These logoi have no substance other than images in the Mind of God. There is no substantial unity between a being and its logoi, because the logoi has no substance.
The mystery is that wo/man can reflect upon the nature of the mirror and the nature of the image, it is here that the creature is open to God, and God is open to the creature. This open-ness was the Gift of God to Adam, a grace offered, and withdrawn at the Fall.
The fact that all wo/men, in all places and in all times, can contemplate the Divine and the mystery of its nature tells us this grace is not withdrawn entirely, that the Divine is immanently present always and everywhere ...
But we will never find 'the missing link', the means by which we can substantially connect the cosmos to God, and thus eventually 'prove' God's existence, because there isn't one.
... Some thoughts, anyway.