I have all the rights to vote

I have all the right to vote

Are both correct?

I think the only difference is that "all the right" means all right that exists

while "all the rights" means all rights you are thinking about.
We have every right to vote.
Let's use a different "right."

I have the right to be here.

I have every right to be here! (emphatic)

I have as much [of a] right to be here as you do!
Teachers: We supply a list of EFL job vacancies
We have the right to vote -correct

Not "all the rights"
 Optilang's reply was promoted to an answer.
does all the right means a "single right but all of it"?
Students: Are you brave enough to let our tutors analyse your pronunciation?
 BarbaraPA's reply was promoted to an answer.