Thanks for the helpful discussion!
For now I think I will stick with the deadlines in my calendar. I do find some of the arguments for putting this information on the projects list appealing. What I've done in the past is use these deadlines for saying when I would like to have something finished. Creating a lot of items that had to roll over everytime. It didn't make my system more workable. I'll try it out though, but only for items that really have a deadline!