Having said that; many years ago, the first ten amendments to the constitution were nicknamed "The Bill of Rights."
So I have assumed that the constitution does indicate that we have more rights than just "life, liberty and the pursuit of happiness."
Your assumption is correct. You should be at the head of the class here. Your rights from the creator are unlimited, including the right to make mistakes, including sins. The Constitution is a limit on government, not an endowment of your rights.