Democracy is not a natural right since anarchy is true

We have a right to exclude anyone from our personal space otherwise there are no meaningful rights. To have 'rights' is to have the right to exclude others from something or somewhere.

If there is a state then the voters have the right to exclude the state from where they do not want it to be by using democracy. Democracy gives the people the ability to exclude and remove the state. But if we treat the state as nothing special and assign to it no special powers then it is strange that the state grants democracy. It is not normal for typical individuals and institutions to hold elections, the state is unique in this regard. And if the state has no special qualities above a normal institution (as an anarchist would claim) then to have democracy is an anomaly and voters have no rights to an election.