I think in a Democracy, people decide what kind of leadership they want. God does determine everything that happens around us. However the Kingdom of Jesus Christ is Spiritual in nature. It is not of this world as Jesus himself says to Pontius Pilate. So when you look at worldly leadership, it is for the people by the people.
I suggest you wake up and take a side in politics and support either for or against. You cannot take middle ground. There is no middle ground because if you take middle ground, it means you're just happy with everything the way it is. But that's what freedom gives you. To do as you please.
Every vote does count. It is people's rule. It is not a roll of the dice or random. Sure, there is some luck to it. But it is a majority decision by most number of votes.
If people are not happy with the government, they can topple the government worst case scenario. There is room for that in most constitutions of the world. Either that or revolution.
God's rule is different. His Kingdom is different. Not of this world. What we do have is God's love and protection that comes from that Kingdom.