Sorry, but your interpretation of the Bill of Rights is incorrect. The Bill of Rights (the first ten amendments) is not a list of what I can do, but rather a list of what the government can not do.
The Bill of Rights is a list of negative rights, meaning these are rights that everyone has by birth and that the government cannot take away. If something is given to you, it is not a right but a privilege and can be taken away. Your right to life, liberty, and the pursuit of property are considered "god given rights". That is why there are sentences like "Congress shall not pass any law", and "shall not be infringed", or "the government can not", are used.
A right is something that you can do not without the need of anyone else's involvement. I can say what I want, defend myself and my family, enjoy the fruits of my own labor, associate with whomever I want, all without the involvement of anybody else. I can build my own house, till my own land, feed my family, without anybody else's help. That is my right.
Healthcare, on the other hand, unless I am a doctor, requires that I a benefit from the fruits of someone else's labor. You would be forcing someone else to provide you with something. That is not a right.
You can make a law saying that the government will do something for you, like paying for healthcare or building an army, but that does not make it a right. That just says that the government is granting you a privilege.