In an employee owned corporation, you would get some say in leadership. Although it's possible that in a large enough corporation, it would be an indirect democracy. You vote for board members who vote for the company leadership.

While various municipalities and nations might classify co-ops as corporations legal wise, I don’t think the average person jumps to thinking of a co-op when you say corporation

Check the agenda for your next shareholder meeting. You're welcome :)

Most shareholder elections don't have a yes/no vote on the CEO - and I work for a wholly owned subsidiary, so have no say in that either.

You're always free to invest directly in your parent company. Shareholders hold tremendous power over company management, and that power increases the more you invest in the company. This gives large or organized shareholders at least as much democratic power as union members have over their entrenched leaders. Your question made it seem as though you didn't understand that.

You can vote your shares.