American Independent Party - sort of what I call "anti big business conservatives". Think of someone like the late Sam Francis, Richard Viguerie, Ron Paul, G Edward Griffin. Anti-immigration (legal and illegal), anti-UN, anti-abortion, anti-gay. Sort of similar to this: https://uselectionatlas.org/FORUM/index.php?topic=173237.0
American Labor Party - SEIU and MoveOn. Big into "Hold the Banks Accountable", ending the death penalty, ending deportations and against things like "Stop and Frisk". Ilya Sheyman, Elizabeth Warren, Bill DeBlasio, and Luis Gutierrez are one of many examples.
Universalist Party - Centrist, technocrat party. Clinton, Bloomberg, Cuomo and some moderate republicans. Strongholds of this party would be unitarians (hence the name), jews and seculars.
Just FYI, a vast majority of Unitarians would actually vote for the American Labor Party.