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Iran has proven itself to be at least better at performing like a democracy than most of our alliesSure. That wasn't the question. The comparison was between Iran and America, and whether being able to bribe people gives Iranians more power than Americans. It doesn't.
> it's extremely difficult to wield real influence with a vote (or via advocating for any sort of elected official) as most problems are directly avoided during campaigning
You're focussing on Presidential elections. Of course in a national vote the individual will be diluted. That's the point. Go more local (and earlier, to primaries) and you see massive questions resolved with tens of votes, even in New York.
> problems are decided long before they hit the ballot box and you can only really weigh in on certain wedge issues
Correct. Most of what I described above is before the ballot box. That said, even the multiple-choice power exerted at the ballot box is more power than the average Iranian has. (There is an argument to be made that if someone doesn't believe this, they shouldn't vote.)