If we have to line our posts up with the one before (for instance, all of our posts need to be lined up because we are both CST), this is going to be really difficult. That means that we will very rarely interact with Japan's characters, and you and I will more or less have to plan our posts around each other. I honestly hate using such specific timelines in my roleplays. It's too restricting. Just because it's 3:00am in your post doesn't necessarily mean my post needs to start at the same time. I only picked that time so I could interact with JST.
I love the idea of doing dreams vs. real life, but I really wish we could do away with the strict timeline and time zones. It will greatly help character interactions.