In many ways theocratic countries are arguably more stable the whole; with lower crime rates and a stronger sense of social cohesion.
Democratic and capitalist countries in which social cohesion breaks down due to individualism taken to the extreme, and morality is abandoned in favor of slavery to the self, likely eventually descend into anarchy; Rome may have fallen to barbarians due to becoming over-saturated with material luxury, leading to mankind giving into it's animal nature and becoming suspectable to subversion by those with more temporal power. And if America's economy collapses due to our overconsumption, we may eventually likewise be conquered and tamed by China or Russia.
While America's founders believed individual freedom from the federal government, they didn't idolize "freedom" just for the sake of "freedom", or unrestricted freedom as the pinnacle of human aspiration. In reality though "freedom" is what the devil and his minions idolize above anything else, as temporal freedom is simply the power to pursue one's lusts and desires for destruction unrestricted, much as the evil Marquis de Sade is known as the "freest spirit" whoever lived, total freedom is nothing more than nihilism and social depravity, from obseity being promoted as a norm, to the consumerism of sex, toward the fetishism of "science and technology" and it's false promises of saving us from our own vices.
Between theocracy and and a state of depravity in which the most base and unrestrained animal instincts being the only "morality" that there is, theocracy seems historically more successful at keeping a nation from consuming itself from within.
Stability isn't the end game for human beings. Freedom is. And the church, mosque, synagogue, or politburo has always worked to subjugate humans beings to 'their view of things'.
Sorry, not here not ever. I'm an agnostic and I think people who believe in any god are deluded but I will stand beside them to defend their right to believe. Just as I demand the right to live my life. History is rife with the horrors of the human race being perpetrated by 'religion' on them. Including torture, murder, stoning, drowning, burning at the stake, boiling, impaling...the list is endless.
What religion does is give the believer a 'get out of jail free card' to believe ANYTHING they do is god ordained.
Not here, not ever.