There's a pretty good statement of (forget the neo-) conservative values in Peter Berkowitz' review of the Douglas Murray book on neoconservatism. That's one reason to read it all. This clip on Strauss' warnings about relativism, and the motivations of the early neocons is another...
Strauss breathed new life into the idea of a liberal education, which he saw as an opportunity to liberate the mind from prejudices and to expose it to the treasures of human achievement in politics and thought. This liberation involved, among other things, acquiring an understanding of the weaknesses and disadvantages of liberal democracy, the better to grasp the remarkable benefits that liberal democracy confers, the enduring justice of its cause, and the institutions and ideas that sustain it. Murray emphasizes that, among the debilitating prejudices fostered by liberal democracy, was one that Strauss called relativism, and which consisted of the belief that the diversity of human views about right and wrong, and morality and immorality, were rooted in the diversity of cultures, and were all equally valid. Strauss diagnosed relativism as a decayed form of the admirable liberal doctrine of tolerance, and warned that it led to nihilism, or the belief that nothing is true and everything is permitted.The first generation of neoconservatives--led by Irving Kristol, Norman Podhoretz, Daniel Patrick Moynihan, and Nathan Glazer--entered the 1960s as liberals and Democrats, but rebelled against relativism's political symptoms, finding in the Johnson administration's Great Society welfare programs an inability to draw crucial moral distinctions and an obliviousness to the dependence of free and democratic institutions on character and culture. But by far the biggest and most dangerous expression of the relativist tendency, against which the first generation of neoconservatives rebelled, was the failure to grasp the menace of Communist tyranny and to recognize the monumental stakes of the Cold War.