This really comes down to a belief system of individuals and people. First of all, a right is different from a power. A right is something defined as that which exists outside of any structure, society, or government, as in, "I have every right to defend myself, with deadly force if necessary to protect my own life".
A power is something which is given or provided by society or a structured environment, as in; "We have been given the power of attorney to manage our parents affairs".
Our founding fathers believed that individual rights indeed existed and were paramount to human freedom. Governments were to be formed and given power to protect those rights. The power was to be given to the government with the consent of the governed, who would keep their rights.
Now, there is one pure distinction here. The founders ideology revolved around freedom of the human spirit and the right to freedom which every human has. They set up a free society in a manner which acknowledged, respected, and protected the rights enjoyed by a free people, where the government was given power to protect those rights. In a society such as Cuba, even though the Cuban "people" may have the same human spirit and the same yearning for freedom that we have, their government, which is totalitarian, has taken the power, without consent from the people, and with this power has prevented the Cuban people from exercising their rights and freedoms. Dictatorships and totalitarian governments do not recognize any natural or God given rights of the people they control. These governments believe that "the people" only have the rights that the government allows them to have. But this is a mistaken view of rights vs. powers. In the case of a totalitarian government or dictatorship, the power of the government prevents the exercise of the peoples rights, even if those rights still exist in theory. They do not exist in practice, because government power is being abused and is being used without the consent of the governed, which is in and of itself, an abuse of human rights, if you believe in human freedom.
If one doesn't believe in human freedom, then rights and powers are really no different to such a person.
In my opinion, and hopefully in most of the free world's opinion, we should strive towards the model of rights vs. powers, where the people enjoy the exercise of their natural rights, protected by the power of government, which power was given to the government by the people.