Stuck Between A Rock and A Hard Place

There are times when logic ad emotion really war with each other and this is one of those times for me.
Background: For the past 2.5-3 weeks, we have been given way more work that our capacity. And this is not a measly 20% spillage. Try 93% over! So, understandably, my new Olivia, myself, and the other TL were very upset. This meant extended hours for the whole team, and hours exceeding 3 past log out time, everyday. The team was tired and reaching burn out- so close from the live date. So, my new Olivia brought it up with management and was told, in a nutshell, to handle stress better.
Now: I will be having a meeting with the team and the OM in a couple of hours and I'm stuck in a rut. One side of me really doesn't like what has been happening. That side of me constantly screams, if you let them do it to you once, they will keep doing it to you. If you show them you can do more than what you can actually do, regardless if this is a one-time thing, they will assume that this is the norm. Past experiences taught me this. The other side of me was screaming, CALM DOWN. Remember logic and reason always work best. From past experiences again, no one likes an emotional, angry outburst in a meeting.
Dilemma: My new Olivia wants me to be adamant and exuberant about my feelings and opinions during the meeting. To her, this is showing them that she wasn't over-reacting. Anything short of this would be "folding". But, I don't want to be this person. In private conversations, sure. That's why they're expressed there- because they are private. But not to the rest of the management team. I think it's bad form. So, how to strike a balance between showing my new Olivia that I do agree with her about what has been happening, at the same time, not alienate the OM and the rest of upper management?

Waaaah! My politicking skills are really bad at that! Keep your fingers crossed for me, y'all! Will update soon.