Personally I think FSAE did a lot of that first part you are talking about. Students are given a goal of building a race car for autoX, and you go about to achieve that however you can. There are people who obviously just cobble stuff together and call it a day, and there are people who goes through the trouble of doing all the same work that is not uncommon for a professional level project would go through and try to make something properly. It can get pretty involved very quickly. And since you are designing and building the car, you quickly learn what works and what doesn't. Something I think is missing in a lot of level of racing(since you are working on other's design). Besides, Claude offer his 3 days class at vastly reduced rate for FSAE students after each comp.....
As a whole I think its an extremely condensed "introduction to race car engineering/project management", where how much you learn is dependent on how much effort you put into it....