Why isn't Hamlet's society adopting Renaissance views (with proof from the text)?

One of the reasons for Hamlet’s enduring popularity is that he emerges as a Renaissance hero within a medieval society. He is alienated from his society not only because of the specific situation—in which he must exact revenge for his father—but more generally because his worldview is very different from the people around him.
English society was still largely using medieval ideas and just beginning to move into the Renaissance era. Given that William Shakespeare set the play in an even earlier era (the fifteenth or sixteenth century), it is logical that the prevailing worldview would be that of that earlier time. Claudius’s approach to leadership exemplifies the medieval view, as he seizes power by manipulation and aims to keep it through even more violence.
While trying to pray, as Hamlet overhears, he admits his greatest concern is with power. Hamlet stands out in part because of his youth and because his position as the crown prince gives him opportunities that others could not enjoy. His perspective is influenced by Renaissance humanism, including rationality.