“Californians Against Hate” sounds like an Orwellian organization. “Hate” apparently is not wanting marriage to be redefined.
To Liberals "hate" means disagreement with Liberalism. It's like when they say "hate speech" or "hate radio". So, in that sense, the group's name is honest. It is against anyone who disagrees with them. Homosexuals are all about euphemisms; "gay" actually means happy, "lesbian" is a person who resides on the Greek island of Lesbos, and the rainbow doesn't represents them.