Yes. What I would suggest is that each party put in maybe their top three witnesses, rank them and give them to the clerk by the end of Friday. That increases the chances of the clerk finding a preferred witness to come on Tuesday. I agree that we should do this on Tuesday, because for next Thursday we don't know what's going to happen.
Let's do Tuesday. By giving the clerk more options, I think we'll be able to make sure we have the witnesses each party wants.