It seems that more people are wanting an all flash web site. I realize this is not considered the best way to go. But if a customer insists, does Coffee Cup have a way to accomplish this?

Coffee cup does not have software that you can build a full flash website with. If you do not wish to go into Macromedia Flash but take an easier route to develop a full flash website then Swishmax2 is the way to go.

I would also advice you to read up on Google and Flash and there are ways these days to optimize a flash website.

Good luck with your project.