We must keep in mind this particular scripture...
"However, the Most High does not dwell in houses made by human hands; as the prophet says: 'Heaven is My throne, and Earth is the footstool of my feet; what kind of house will you build for Me?' says The Lord, 'Or what place is there for My repose?'" Acts 7:48 & 49 NASB
... because it speaks of the superstitious fallacy of believing that God's Spirit can only be found within a particular building or structure, or more specifically, that spirit dwells within stones (one of the tenets of animism), all of which can be construed as idol worship.
Keeping that in mind, all we are looking at here in these pictures, is monuments of dedication, whereas our forefathers made a commitment to follow after certain ideals set forth in Biblical and Talmudic principle.
Separation of Church and state (a passing verbal comment of Thomas Jefferson's, not a Constitutional principle) was a desire to see that no particular "religion" (like any of the franchises of Christianity, Judaism, Hinduism, Islamism, etc.) ever became a mandated-state-religion. They were looking at history as it had happened, up until their time in the 1700s, as in Constantine's edict of 333 A.D. as a start, and eventually becoming the state religions of Italy, Greece, Germany, France, Spain, Portugal, England, and so forth.
Jefferson's comment was in no way meant to be construed to be a total separation of the "governing state" from men's religious beliefs and activities. It was intended to direct his governing peers and eventual successors away from ever establishing a state-religion. "Religion" is thus not to be ignored, nor imposed.
What we have today, amongst current revisionist-liberals is a move to both ignore men's religions and impose non-religion.
For those revisionists, a quick walk around the nation's capitol (not to mention other capitols and monuments around the country) would show them the base of their assumed and ignorant error, because this country is strongly self-steeped in Judeo-Christianity --- while tolerant of all religions, including atheism or non-religion.
There is a need for any self-governing body to choose a foundational grouping of truth-principles, a standard by which to measure against, as opposed to anarchy. Our founding fathers happened to choose Judeo-Christian principles as that basis, and it has been the most successful government of men in all of history, without imposing a state-ordered religion.
"When a man assumes a public trust, he should consider himself as public property"
Thomas Jefferson, 1834