I think it's fine to have the MC help you negotiate this stuff. I'm trying to better understand what *your* short list of "what it will take" items is, so we can better help support you. Are you going to be asking for full transparency for example? Her to send OM a no-contact letter? Are you two agreeing to ongoing MCing?
The most common mistake I see betrayed spouses make at this CRUCIAL stage is to miss their moment of maximum leverage, they communicate fuzzy goals and boundaries, and they end up with fuzzy (at best) results.