Julia Gillard has indicated that the Australian election will be held on September 14, which is the date Yom Kippur falls. This article says that no election has fallen on Yom Kippur since 1946, which is when the Australian Electoral Commission began recording election dates. I've also heard that there's never been a federal election held on Yom Kippur, though I don't have a citation for that.
But I'm thinking that if you're looking only at Australian elections, there haven't been enough of them to determine whether that's just a matter of chance or not.
If anyone's wondering, Jews will be able to vote beforehand, as usual, but it's been claimed some individuals who'd otherwise be involved in political campaigning in the final day (Sabbath notwithstanding) or days of the campaign will choose not to.
In genuine democracies with a non-fixed date election, and a non-trivial Jewish population (unlike, say, India or Japan), how often are elections held on or near Yom Kippur, compared to what would happen by chance alone?