I heard John Stewart prep for his DC rally by saying that 80% of the country is rational and reasonable and is being overrun by the 20% on each end of the fringes. I could not agree less. I think the number is considerably lower than 80%.
And I am not sure it is contiguous in the spectrum. Or in the person. We humans tend to be extremely good at matching things into patterns - what we think we "see" in a quick flash or the patterns of a "conspiracy". It isn't the message as much as the receiver of the message in determining its correctness, reasonableness, etc.
If the fundamental world view you have is that there is a God that may or does use his/her power to evoke changes in peoples lives then your view of, say, abortion may be/is opposite a person who does not believe in God and believes we are random mutations over long periods of time and, therefore, it isn't a problem for a woman to have sole choice in the matter. Where would reasonable behavior fit?
We can make a move to the middle of the spectrum on questions and find that the people who will accept that centrist view are small...less than 50% (?)
People with relativistic morals will move around as they deem necessary with absolutists will dig in heels and say - "you have gone too far" - pick a topic.
So, what is the solution? In our esteemed country, we allow for the people of the particular day, vote their conscience. Always has been that way and, hopefully, always will. Looking for an answer to solve the problem? It ain't here.