In our recent conversation about real presence and omnipresence, we could hardly help coming up against this question a few times: how can the omnipresent God be "more present" at some times and places than others? I've been pondering that and have some tentative thoughts.
Some of God's appearances are a glorious presence: the burning bush, the pillar of cloud and fire, the revelations to Moses, the cloud and glory filling the Tabernacle and the Temple. One thing setting these apart from omnipresence is that God chooses to make his presence known to the people. Omnipresence is hidden from our senses. But in these cases God makes his presence visible, directly available to our senses. He does this so that we will see him. He makes sure that we know he is there. He also tends to have a special purpose when he makes himself known. When he appeared in the bush it was to call Moses. When he appeared in the pillar of cloud and fire it was to lead the people. In appearing to Moses he gave the Torah to the people through him.
The Tabernacle and the Temple are two special cases. Here God displays long-lasting presences, persistent or recurring presences. God's presence here is not bound to a particular person or a particular event. Here God's visible presence itself is the main message: he is with his people. His purpose seems to be that his people should understand that he is with them.
Then there are times when God appears without visible glory, sometimes even in human form. When he saw Adam and Eve naked, he clothed them. He visited Abraham when he was recuperating at Mamre, from which the ancients derived the principle that it is godly to visit the sick. I suspect that if we were to trace it through, all the acts of compassion which Jesus described in Matthew 25 are probably things God has been known to do for his people. (I was naked and you clothed me, I was sick and you visited me, I was a stranger and you welcomed me ...)
So all that is background to the things we had discussed about God's presence. What I see is that God's special presences are for us and for our benefit, and in each one of them there is some sort of blessing God gives his people. He may not be "more present" but he's certainly more known, more self-revealing. His visible presence lets us know where to go for his blessing, for his compassion and his forgiveness. Whenever he shows himself in this way, he shows himself as being for us and with us.