This post falls in the category of something I hammered out for a client today and I thought to myself, "Wow, that's just obscure enough that no one would probably figure it out on their own." As such, I figured I'd put it into a blog post for Google to index and for me to point people to in the future.
If you use any of the CF UI tags, CFChart, CFForm, or CFAjax functionality, then you need to have some web accessible JS, CSS, etc files for it to function. In older versions of CF, this was under the /CFIDE folder which wasn't very cool since it made it harder to block access to that folder by default. On the most recent versions of Adobe CF, you can hit it as /cf_scripts and the IIS connector has a built in handler that passes those requests through.