If you will cling to the idea that men are the ones who control world events (by their vote), you have to remember that God can send a LYING spirit to influence men.
I'm not sure you are understanding the distinction.
Are you thinking that all people should trust God by not voting for anyone? And to know that whomever it was that took over, by whatever means it turned out to be, that was God's choice?
Or do you mean that the believers shouldn't vote, and should let the voting all be done by the unbelievers, knowing whomever was elected by the ungodly is God's choice?
Or just that the rest of us less spiritual believers can vote, clinging to the idea that we, not God choose our leaders?
But the true idea is that we vote with the wisdom God provides, as an act of love towards our fellows, knowing that God chooses our leaders, and that this is a part of the process.
It's like Esther, I think, that if she wouldn't be a part of the solution, make no mistake, God would bring it from somewhere else but she wouldn't be saved by it.
Now, thankfully, God deals with us a children. But we certainly shouldn't disregard such things.
Much love!