Americans have adapted irish and british music into to American tastes.
The "mandate of Heaven" was a belief the Chinese Held regarding the ruler's ability to rule based on merit. This type of belief also stated that the ruler had the blessing of the gods.
Strong ties to the English crown -- that was not a factor in the success of the colonies. In fact, the reality was just the opposite. The colonies were very loosely connected back to the home government in England. They developed their own forms of self-government within each of the colonies, which also featured different religious practices (based on groups who had come to the New World to escape religious pressures in England). The "new" this and "new" that featured in your question is a clue to all that was happening in the novel enterprise that was the American colonial experience. This new form of life would eventually challenge any oversight by the English monarch, and the United States of America became its own nation.
