Your logical error here is that the "you" in proposition 2 is part of the "we" in proposition 1

Don't get me wrong. There's plenty of problems with the system. But you have the opportunity to participate in choosing the handful of people. If your favored candidate did not get selected, either you failed (you didn't work hard enough), or your candidate failed (for an uncountable number of possible reasons).

Also, your conclusion(s) does/do not follow

Edit: Of course, if you live in a country where candidates are literally chosen by the state, this does not apply. But it applies in every actually (or reasonably) democratic country