This Moibus strip of which you write is not the electorate in Henderson County KY, it is the democratic process as your following passage indicates:
"Democracy can be distorted or there may be attempts to distort it. But in this case the majority (h)as voted into a law of the land, and greater good should prevail."
Ms Davis represents the pure democratic process at work. The supreme court decision which legitimized homosexual marriage represents rule by decree from a group of appointed people who once in the office have tenure for the rest of their lives (kind of like "president for life" in places like Latin America or Singapore).
That is the conundrum faced by progressives in general and particularly the Democratic party of KY since Ms Davis was elected as a Democrat and the last thing that Democrats want is anything less than the friendliest party to homosexuals possible since they will need every vote they can get in the coming democratic elections.
Further and finally, the distortion of democracy about which you also comment is the existence of both courts and political parties which do not reflect the will of the people. The politicians need their votes in order to legitimize their own existence. The supreme court does not.