I had to look up secular theocracy. The accusation really does seem to be led by those who hate the First Amendment. They want to privatize the public space to destroy the secular and bring in the power of the church. Their church.
Very few Americans want to destroy the right of Christians to worship as they please. However, many of us see that religion as an ancient collection of myths and that it is used by goofy charlatans to gain power and wealth. Many of us see very little historical proof of the very existence of a God, never mind the magical Christ. Of course, the opposite of secular theocracy isn't democracy, it is a return to 1864, when people respected the superiority of rich white men.
Hugh Massengill, Eugene Oregon
http://crooksandliars.com/2015/04/hump-day-quiz-what-secular-theocracy
http://www.independent.org/publications/article.asp?id=3206
http://www.salon.com/2015/04/21/rick_santorum_finds_a_new_completely_nonsensical_object_of_hate_president_obamas_secular_theocracy/