Good news, everyone! I can justify you not being asked to vote with your voting shares thusly:
Investopedia explains 'Class B Shares'
For example, one Class A share may be accompanied by five voting rights, while one Class B share may be accompanied by only one right to vote, or vice versa. A detailed description of a company's different classes of stock is [err... might be--ED] included in the company's bylaws and charter.
See? All shares have voting rights, but some have more voting rights than others.