True, but perhaps it does not carry the weight you stress on it. I would consider intelligence the ability to solve problems quickly, effectively and efficiently. I would think that this skill is usually acquired through practice and most likely to be done during a person's academic career. There would definitely be exceptions to this, when people with a great capacity for intelligent do not gain it through education (and lots of people who are simply incapable of being intelligent gain nothing in the sames ystem), but I do believe that a "bright" or intelligent person, through education will achieve much more than without.
Oh, and about the growing gap between academics and intelligence, I absolutely agree, but it is not because they are so different, it is because the public primary and secondary school systems are a complete joke! It's embarrassing to hear what they put in the curriculum these days. Last time I checked they actually had mandatory community service and fitting into society courses!
As to your first point, as I said previous, I work as a transfer counselor at a college (don't ask), and I have to disagree strongly with you, I don't think the education enhances your intelligence. It may appear that way on the surface, but I'd give the nod to an uneducated intelligent person over the multitude of educated unintelligent people anyday, and no amount of practice or education seems to help the situation. I may sound harsh, but a lot of these college level kids are no better than talking to a block of stone.