What planet are you from? Welcome to Earth! Religion's influence in politics has been steadily declining for at least a century or more now. Religion in general has been seriously declining for a long time. So I have great news for you, you can stop being afraid now.
Unwillingness to compromise is certainly not unique to Christians. There are many Atheists who are as uncompromising about their ideologies as any religious person. Religion is not the cause of being unwilling to compromise, it is merely the excuse. In its absence, people can and do find other excuses.
You must be in possession of a time machine! What year did you come from? In the present-day, it is overwhelmingly the Left that is trying to force their morals on everyone else, and the conservatives you so despise are on the defensive and mostly just trying to fight for the right to be left alone and allowed to maintain their own beliefs and not have the Left's morals forced on them.