I believe KJ only votes to break a tie.
Not true. The mayor has the same voting rights as the other council members.
From the City Charter:
§ 40 Mayor—Functions.
(a) The presiding officer of the city shall be the mayor.
(b) The mayor:
(1) Shall be recognized as the official head of the city for the performance of all duties lawfully delegated to the mayor by this Charter, by action of the council or by other laws.
(2) Shall provide leadership within the community in the sense that the mayor shall have the primary, but not exclusive, responsibility of interpreting the policies, programs and needs of city government to the people, and as the occasion requires, may inform the people of any change in policy or program;
(3) Shall have the right but not the exclusive power to make recommendations to the city council on matters of policy and program that require council decisions;
(4) Shall be a member of the city council and
shall be entitled to make and second motions on matters before the city council and vote on city council actions, but shall possess no veto power over actions of the city council;
(5) Shall be included within the terms “council” and “city council” used in this Charter unless otherwise expressly provided;
(6) May propose ordinances and resolutions which shall be considered by the city council;
(7) Shall appoint and may remove members of the boards and commissions and advisory agencies in accordance with Article XV except as otherwise provided in this Charter;
(8) Shall have and exercise such other powers and duties as provided in this Charter, the laws of the state, and ordinances and resolutions of the city.