I'd keep the current sections but add a Tutorials-like table of contents for a significant subset of the questions. But someone has got to regularly update such a thing. Are you volunteering? (Just asking, and not pointedly.)
There are tons of things that need to be done to CatQ+A to make it work well as a FAQ repository. Several times I've seen one or more of these changes get started but they have never really kept traction. Too much maintenance work is required for most of them.
In some ways, no matter how well-done CatQ+A becomes, there will always be new guests who don't make use of it and post questions that are well-answered there. And in some ways, CatQ+A is just not close enough to the focus of PerlMonks.