How can I unhook this action that was added via $this?

You have the right idea with using get_object() just on wrong class. Since hooked method belongs to Theme_My_Login_Custom_Passwords instance it should be Theme_My_Login_Custom_Passwords::get_object().

Hata!: SQLSTATE[HY000] [1045] Access denied for user 'divattrend_liink'@'localhost' (using password: YES)