Christian conservatives quite often stoke fears about Muslims imposing sharia/Islamic law in the U.S. This, of course, ignores the fact that Muslims are a tiny minority with barely any political power whatsoever in the U.S.
One might as well fear Japanese Shintos imposing Shintoism in Vermont as much as Islamic law being imposed in the U.S. But there are wannabe presidents in the GOP presidential primary field who want our civil government to reflect their personal religious beliefs. For example, Rick Santorum stated on radio:
"Now our civil laws are supposed to comport with God's laws but sometimes they don't, and so it is always the obligation of those, for example, the issue of abortion - the civil law does not comport with God's law, in my opinion and I think the opinion of many people in this country and it is our obligation to continue to try and change that law. We have to live under the civil law, we have to obey that law because it is the civil law but we need to continue to try to change it to make sure that these laws, the laws our country, comport."
According to Santorum, later in his broadcast, he tried to make a distinction between Muslims wanting Islamic law and Christians wanting biblical law. His defense was that to Muslims (which doesn't go for all but many Muslims though) the civil law and Sharia law are one in the same, no distinction.
Christian fundamentalists like Santorum, though, seem to understand that there is at least a technical difference between civil and religious law, but he wants civil law to purely reflect Christian religious law. Well, in practice, there is no difference. In effect, a nation led by Rick Santorum is as much a theocracy as Iran under the Islamic clerics.
What would a nation led by the bible be? Well, gays would be executed, those who have sex outside of their marriage, will also be executed. If the bible was completely enforced, slavery would be reinstated. Even Santorum won't go that far. By the way, these candidates; Santorum, Huckabee, Bachmann, Gingrich, Demint, are all out to win the votes of the religious right for the Republican party nomination. If one of the theocrats do win the nomination, they will, of course, not campaign in the general election that they want the U.S. to be a Christian fundamentalist version of Saudi Arabia.
Our founders gave us a grand experiment, one based upon an Enlightenment ideal that involved freedom from the theocratic states of the Middle Ages. Will we give back the heritage that Madison, Jefferson, Paine and others gave us for the religious reactionary vision of the GOP presidential candidates?
Santorum and other theocrats state they won't execute gays -- but that is the punishment of the bible. The reason they won't is because of the influence of the Enlightenment to moderate Christian beliefs in the last 400 years.