Well you seem to be referring to how often He intervenes supernaturally, yes there are certain important periods where He has intervened a little more than other times. But overall 99.9% of the time He operates thru natural law. Otherwise, it would start affecting our free will and evil could not be destroyed forever which is His primary goal. But His existence is fairly obvious if you think about the existence of the universe and its characteristics and causality. In some ways science has made Him less "hidden". 60 years ago it was thought the universe was eternal and therefore didnt need a cause, but the BB theory has shown us that the universe is an effect and therefore needs a cause.
You make quite a few unwarranted assumption here, some trivial, some no so trivial.
Assumption 1) The period when Hebrew nationalism was being forged, the biblical era, is a more important period in time than any other for the intervention of God. It was only more important to the Hebrews and of course they would claim God their own and create a mythos surrounding that containing miraculous proofs of their claim. All attempts at nationalism do.
Assumption 2) Having God's characteristics of perfect justice, grace, and mercy be a certain cause and effect in this would would somehow affect free will. Everyone could still act of their free will, but consequence would be swift and sure-fire in this world to the glory of God. The fact that the righteous suffer and the wicked prosper in this world is evidence that the character of God is not infused into this world. That is why the ancients created a kingdom to come where God's character did rule. They knew it was not in this world - he was hidden. Some even postulated that he was beaten so the concept of a kingdom to come was them folding up camp here and waiting.
Assumption 3) The universe may very well be eternal. If one believes in the big bang they do not believe in a wholesale creation event ex nihilo. They believe in state change of matter from what existed before that cannot be measured to what exists now that can be measured. You already accept the concept of an eternal something... you call it God - a very biased and selective and ad-hoc attribution.
Assumption 4) This one is the worst ones you make with the strongest evidence that your beliefs are wrong. That belief is that a sentient willful mind is what caused what we experience now. Sentience we know is a direct result of biology. It is wholly attached to brain functioning which is a result of matter (the brain). The brain's functioning, which results in sentience, is wholly contingent on matter that did not exist prior to the cause of this material experience. Even now mind cannot exist without matter, yet your God's main characteristic is a disembodied mind. While I accept the duality of man, I also know from where that duality emerges. Your God being a mind without matter makes Him a married bachelor... a logical impossibility.
Assumption 5) God willed creation into being. I refer to assumption 4 in that will cannot exist without mind, but even further, will cannot exist without want or need, both of which your God does not possess. A God who is already the embodiment of the alpha and the omega cannot possess will by definition. He has no want, no need. There is nothing to will about. Creation is like the army exercise of digging holes and filling holes for no known reason. Another married bachelor conundrum in a cycle of uselessness.
Call them paradoxes if you want. It doesn't seem to help the case.