I don't believe those voting for the godless think about God. They may drop His Name for some credibility but that would be taking His Name in vain for their godless agenda.
God is silent to those with no ears to hear HIM and when His Wrath comes it will be too late to listen. Some are just hell bent to learn the hard way for It is Written in His Word that they know not.
An argument can be made that voting for either of the two main candidates is voting for the godless, as you put it.
Ask yourself, if Obama wins, are you prepared to deal with the theological implications?
Best,