Most large churches have meeting spaces other than the main sanctuary -- classrooms, meeting rooms used for everyone from scouts to community bands, even gymnasiums. Those churches double as community centers, and there's usually a pretty clear line between the sacred spaces and the ones devoted to community functions.
I've voted in several polling places at churches, but I've never seen the voting booths set up in the sanctuary. It's been my impression that both the church and the state are comfortable with this distinction.
"Most large churches have meeting spaces other than the main sanctuary -- classrooms, meeting rooms used for everyone from scouts to community bands, even gymnasiums. Those churches double as community centers, and there's usually a pretty clear line between the sacred spaces and the ones devoted to community functions."
Non-sactuary areas are OK for Orthodox Jews. Here:
http://www.askmoses.com/article.html?h=276&o=2089218