Tim,
Currently, it takes the creation of an Open Graph plugin to automatically post actions on events in other extensions. That does require some PHP code, but we've tried to make our plugin interface as easy as possible and could help you there if you know a little about how your voting extension works (mainly, the URL that is called when a user casts a vote).
We're investigating a way to create actions through the GUI that can be triggered when certain conditions are met (so that you don't need to create a custom plugin), but that isn't available now and won't be a part of the upcoming v5.1 release either. It's a tricky thing to do right.
I hope that explains, but if you want more information about creating a plugin, just let us know.
Thanks,
Alex