A little context might help:
‘You were looking, O king, and lo! there was a great statue. This statue was huge, its brilliance extraordinary; it was standing before you, and its appearance was frightening. 32The head of that statue was of fine gold, its chest and arms of silver, its middle and thighs of bronze, 33its legs of iron, its feet partly of iron and partly of clay. 34As you looked on, a stone was cut out, not by human hands, and it struck the statue on its feet of iron and clay and broke them in pieces. 35Then the iron, the clay, the bronze, the silver, and the gold, were all broken in pieces and became like the chaff of the summer threshing-floors; and the wind carried them away, so that not a trace of them could be found. But the stone that struck the statue became a great mountain and filled the whole earth.
‘This was the dream; now we will tell the king its interpretation. You, O king, the king of kings—to whom the God of heaven has given the kingdom, the power, the might, and the glory, into whose hand he has given human beings, wherever they live, the wild animals of the field, and the birds of the air, and whom he has established as ruler over them all—you are the head of gold. After you shall arise another kingdom inferior to yours, and yet a third kingdom of bronze, which shall rule over the whole earth. And there shall be a fourth kingdom, strong as iron; just as iron crushes and smashes everything, it shall crush and shatter all these. As you saw the feet and toes partly of potter’s clay and partly of iron, it shall be a divided kingdom; but some of the strength of iron shall be in it, as you saw the iron mixed with the clay. As the toes of the feet were part iron and part clay, so the kingdom shall be partly strong and partly brittle. As you saw the iron mixed with clay, so will they mix with one another in marriage, but they will not hold together, just as iron does not mix with clay. And in the days of those kings the God of heaven will set up a kingdom that shall never be destroyed, nor shall this kingdom be left to another people. It shall crush all these kingdoms and bring them to an end, and it shall stand for ever; just as you saw that a stone was cut from the mountain not by hands, and that it crushed the iron, the bronze, the clay, the silver, and the gold. The great God has informed the king what shall be hereafter. The dream is certain, and its interpretation trustworthy.’
We can see that the iron and clay have absolutely nothing to do with so-called "children of God" and "children of Satan." The iron and clay are weak and strong aspects of an earthly empire. Christian tradition holds that the empire of iron and clay was actually the Roman Empire.
