Elrond and Sauron, a personal vendetta?

[Gordis]

Originally Posted by Elmo

I can't imagine why Celeborn would not fight against Sauron in the alliance especially after his role in Eregion. Elves stay able to fight all their life so it would make to try and take all your strength to Dagorlad despite him personally not having an army behind his back. I doubt they marched with the Wood Elves because surely Celeborn would have been able to prevent Amdir's suicidal charge he is called the Wise for a reason. Or maybe Amdir just ignored him!

Good questions, but the problem is that Celeborn was never mentioned in relation to the Last Alliance battles. Yet we know that Elrond, Cirdan, Gil-Galad, Amdir and Oropher were there. (By the way, I think it was Oropher who attacked earlier than planned, while Amdir was cut from the main forces and perished in the Dead Marches).
The apparent absence of Celeborn in the Last Alliance war could be a simple omission but, alternatively, Celeborn might have stayed behind for some reason. I can think of a possible one:
If Celeborn were Thingol's kinsman (LOTR and Silm), specifically "the grandson of Thingol's brother Elmo" (UT), then he was by right the Lord of Sindarin Elves, and should have been superior to both Oropher and Amdir - Sindar from Doriath. Yet these two guys had founded their own kingdoms and bowed to no one. Celeborn, by contrast, lost his own lordship of Eregion and all his people and wandered here and there, mostly living in Belfalas. Perhaps he couldn't take part in the Alliance with both Amdir and Oropher refusing him their allegiance?
Just a hypothesis.