Why was the article from the Freedom from Religion foundation written in the first place? There is absolutely no religion involved in the voting process. Churches are often used because there is space available during the week.
Conference or meeting rooms in libraries are sometimes used as are schools, though this often disrupts the schedules or normal usage of school and library facilities.
It is understandable that many Americans, especially mainstream conservatives, would be uncomfortable only having a Mosque for a polling place. Despite the politically correct affirmation that Islam is a religion of “peace”— Islam is, in fact, at the core of their creed. actively at war with the non-Islam world and Islamic governments in the Middle East often have the eradication of Israel at the core of their constitution. The Peace which Islam declares is the same word for Victory— when your enemies have been destroyed or subdued into complicity. I am not denying that Islam is a very spiritual religion, but it also is at war with, or at least at odds with, the ways of western civilization, including the freedoms and recreational pursuits you now enjoy. Islam has no tolerance for liberal thinking and believes that the pleasures you enjoy are the source of evil and must be avoided or destroyed.
Whereas I know its only a building and I personally do not care where its held, I do feel that a Mosque is in itself an antithesis to our American, libertarian way of life and freedoms. A building is a building, but many are not at ease at what that building stands for, especially in light of the ever-increasing incidents of terrorism.
Many mainline churches have no problem with building bridges with Muslims and some conservative churches welcome opportunities to associate or evangelize with Muslims, but that’s not the point of the poling place. In fact, its strictly not allowed.