This is a very complicated question. First I would not take any television show's portrayal of an historical event as fact or even close to fact. They are there to entertain us not necessarily inform or educate us. I would not say that the American Revolution started in 1765. Americans then, even the ones later on like Samuel Adams who pushed for independence, enjoyed being under British rule and always sought reconciliation. A complete separation was the farthest thing from American minds at that time. Its not all about taxation either. Taxes became the physical manifestation of the real stimulant and catalyst for the revolutionary movement: violation of rights.

From the colonies' founding to the eve of the revolution control from England was exceptionally light. As long as the colonies did not go to war with each other or harm English economic interests, (operating outside the Navigation Acts) the colonies were given a free hand. In addition colonial laws could not clash with those of Parliament. Although some English politicians felt that the colonies did not contribute enough to the British Empire, it was not until after the Seven Years War (the French and Indian War in America) that England began to act on this. Britain in order to pay for the war borrowed a lot of money. And while after the war, the British army and navy were cut back in the British Isles, it was not the case in America. It was enormously expensive to protect the frontier, shipping and provide an organizational structure to make the colonies and their endeavors profitable. It was justifiable after all that the colonies contribute to the defense of the newly expanded British Empire, which now included Canada. Therefore Parliament introduced new taxes, appointed new officials and judges to ensure that the colonies paid every cent they owed in order to protect the empire and the revenue. Parliament really had no other choice. The colonists had always resisted any legal incursion by the British. Nick Bunker states, "From Boston to Georgia, it was impossible to compel Americans to do anything against their will." (19) If we look at the Stamp Act crisis Britain bowed to American demands and abolished it. So although there was some animosity between both parties the situation had reverted slightly back to its previous status. I say slightly due to the fact that Parliament passed the Declaratory Act reasserting its position that it held the right to impost new taxes in the future.

The "Founding Fathers" felt that their rights as men were violated. Its not that they were taxed but that they were taxed without their permission. The independent nature of the colonies had been around since their founding. I wouldn't attribute American ideas of liberty or independence to Caribbean pirates or a particular group.

Nick Bunker, An Empire on the Edge: How Britain Came to Fight America, (Alfred A Knopf: NY 2014).