The problem is, in all those instances, human decisions still took place. Joseph and Daniel etc. still had to be appointed by their respective rulers. None of them simply dropped in to place from out of the blue and I'm sure you don't think God suddenly possessed those rulers and made the decision for them.
Per Genesis 37:5-10, we know that God gave Joseph two dreams concerning his political rulership many years before it came to pass. We also know that God later had Joseph interpret Pharaoh's dream which he had similarly received from God, and that is what placed Joseph in the political position which God had foreordained him to be in.
Daniel also obtained his political position after interpreting Nebuchadnezzar's dream which God had given him. Although I would not call this "God suddenly possessing those rulers," the direct influence of God can clearly be seen in these instances for those who do not shut their eyes to it, and no human "votes" were needed.
As God later said to Nebuchadnezzar by means of the interpretation of another dream that he had received from God:
Dan 4:17
This matter
is by the decree of the watchers, and the demand by the word of the holy ones: to the intent that the living may know that the most High ruleth in the kingdom of men, and giveth it to whomsoever he will, and setteth up over it the basest of men.
Dan 4:25
That they shall drive thee from men, and thy dwelling shall be with the beasts of the field, and they shall make thee to eat grass as oxen, and they shall wet thee with the dew of heaven, and seven times shall pass over thee, till thou know that the most High ruleth in the kingdom of men, and giveth it to whomsoever he will.
Dan 4:32
And they shall drive thee from men, and thy dwelling
shall be with the beasts of the field: they shall make thee to eat grass as oxen, and seven times shall pass over thee, until thou know that the most High ruleth in the kingdom of men, and giveth it to whomsoever he will.
The most High rules in the kingdom of men, and gives it to whomsoever he will.
When God tells me that he needs my cooperation in this matter, then I will obey him. Until then, I will focus my attention on spreading the gospel that the hearts of men might be changed by it.