By virtue they meant to be morally correct. And it was guided by religion.
Nevertheless, to provide the real virtue comes from an inner force and should not be imposed. That is how virtue and liberty are tied. To be really free you should choose virtue as result of your own beliefs.
That is what the independence declarataion and the consitutuion promoted liberty and virtue.
Then the laws ant their enforcement were the media to ensure the virtue (and freedom).
The Great Awakening was an evangelical and revitalization movement that swept Protestant Europe and British America, and especially the American colonies in the 1730s and 1740s, leaving a permanent impact on American Protestantism.
Answer:
We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.--That to secure these rights, Governments are instituted among Men.