Huck is reconstructionism light, a watered down version of the Calvinism underlying some of the more activist strands of Christian groups. Here’s the real hard core Reconstructionist perspective, please note this is only a very small percent of all Christians:

Epitomizing the Reconstructionist idea of Biblical “warfare” is the centrality of capital punishment under Biblical Law. Doctrinal leaders (notably Rushdoony, North, and Bahnsen) call for the death penalty for a wide range of crimes in addition to such contemporary capital crimes as rape, kidnapping, and murder. Death is also the punishment for apostasy (abandonment of the faith), heresy, blasphemy, witchcraft, astrology, adultery, “sodomy or homosexuality,” incest, striking a parent, incorrigible juvenile delinquency, and, in the case of women, “unchastity before marriage.”
According to Gary North, women who have abortions should be publicly executed, “along with those who advised them to abort their children.” Rushdoony concludes: “God’s government prevails, and His alternatives are clear-cut: either men and nations obey His laws, or God invokes the death penalty against them.” Reconstructionists insist that “the death penalty is the maximum, not necessarily the mandatory penalty.” However, such judgments may depend less on Biblical Principles than on which faction gains power in the theocratic republic. The potential for bloodthirsty episodes on the order of the Salem witchcraft trials or the Spanish Inquisition is inadvertently revealed by Reconstructionist theologian Rev. Ray Sutton, who claims that the Reconstructed Biblical theocracies would be “happy” places, to which people would flock because “capital punishment is one of the best evangelistic tools of a society.”

The Biblically approved methods of execution include burning (at the stake for example), stoning, hanging, and “the sword.” Gary North, the self-described economist of Reconstructionism, prefers stoning because, among other things, stones are cheap, plentiful, and convenient. Punishments for non-capital crimes generally involve whipping, restitution in the form of indentured servitude, or slavery. Prisons would likely be only temporary holding tanks, prior to imposition of the actual sentence.