I like your plan otherwise Enjou, but there is one bit that has me worried:
While you are propably reading right the part about Leila being the one we have to convince the most, it may not be wise to completely bypass Akito while trying to do so. If I remember WoG correctly, this is an AU Akito with a much different past (obvious because the early Exaltation) and thus also a much different personality underneath it all (not so obvious). The way he actually shushed Leila is what hints this the most to me. This Akito is used to being in a position to command others, though how often he feels the need to do so is unclear.
With that in mind, maybe change the wording somewhat to make it clear that we presenting the idea to Akito as our Peer, while still directing the argument to Leila? Maybe even just changing the beginning like this:
Not to mention Ligier might not look well on our behavior if we sideline a Peer in the decision making process and instead try to convince that Peer's newly Exalted Dragonblooded underling.