> Jewish rules is considered superior to democratic/liberal rules by larger part of the population

I don't think it's a larger part of population, just much better organized.

Also, you're forgetting that a lot of "right" is pretty secular and is driven not by religion, but by the nature of conflict itself — it's much harder to cling to democratic and liberal values for all when you're afraid for your life every day. (I'm not expressing my personal opinion on the issue here, just describing different political forces and motivations behind other people as I see them).