This is 100% what I'm expecting to happen. Be it with all 3 of the non-racists or just Wuk and her Miqo'te brother symbolically taking over for the two heads and personalities of the current leader.
This reminds me of the whole Steppe plot in SB. We go in there, and take advantage of the sacred traditions of the Xaela in order to rope them into a war they don't really have a personal stake in. But nobody ever questions the morality of what we're doing. Not even in a 'this is sketchy but they like to fight and we need allies to stop the Empire so ends justify the means' sort of way. Same with the pirate mafia who shake people down for 'protection money' and are basically bandits and thugs but they're opposed to the empire so let's just not acknowledge how sketchy helping them actually is.
Here at least, it's explicitly stated that it's normal and encouraged for the candidates to seek out outside help. So it's less 'we're going in there to use this event for our own gain' and more 'one of the candidates is inviting us to take part, in a contest where seeking outside help and building outside relations is explicitly condoned and encouraged.' With a side of 'one of the other candidates is going to start a war if he wins' as another reason to go.
As for how I feel about backing Wuk specifically, I'll have to see in 6.0 as we're introduced to the other candidates.
