I disagree with this generalization about sciences and religions, but agree that there are some important distinctions to be made with respect to how they operate. Regardless, I'm not seeing how this supposed distinction is a reason for censoring or disenfranchising so-labeled "religious" voices from politics yet allowing the so-labeled "scientific" ones. As I understand the principles of democracy in my country, everyone is allowed to have a voice and influence policy. The only exception to this I am aware of is for lawbreakers; those who are convicted of felonies loose their right to vote. I have difficultly accepting any other reason as a valid one for disempowering a group of people from the processes of democracy.
I also have to wonder what my status would be under a nation that disenfranchise people for being religious. Since I'm both a scientist and religious, I would end up in this awkward middle area of being officially approved yet disapproved. Were I a sensible person, I would pretend I am not religious so I could vote and contribute, and all the while continue acting in accord with my religion anyway. Inevitably there would be some sort of inquisition and some witch hunts to ferret out those nasty religious people from influencing anything. There might even be some wars. Delicious drama!