That sounds more like what I'm about to describe (I originally typed it up 20 minutes ago - internet issues):
Actual intelligence is only a fraction of what makes a great mind, such as those who are widely considered "the smartest" such as Einstein.
Intelligence is merely a synonym with factual knowledge. Intelligent people can do rather stupid things or not, depending on the other factors. Some people intelligent enough to design new, powerful weapons thought that their invention would actually put an end to conflict. Now everyone might be using this weapon, its predecessors now abandoned.
Wisdom is knowledge of . . . well, it's hard to describe. A man can be wise without intelligence. I cannot recall what this is from, but I once read the following: "Wisdom really seems to be just common sense." Which, thinking about it, is true. Common sense is surprisingly uncommon. Paying attention to a text conversation on your cell phone, while driving? Some intelligent people do that. Some unintelligent people do that. People who don't do that are wise - they have their attention on the road, and can see what's coming and avoid it - but they don't necessarily have to have the highest SAT scores (I know people who have high SAT scores, yet text while driving. Why can't they just talk about who's dating who when they aren't in a deadly fast mass of metal, and not making everyone else on the road nervous?) Ability to learn (and not just memorize) probably is somewhat related to wisdom.
Then there is creativity. There are intelligent physicists out there, but so many of them are narrow-minded and probably won't discover anything significant. They lack the creativity to come up with an idea, determine how to test it, see how it works, to link different - seemingly unrelated - ideas together. The people who figured out the "basics" that may eventually lead to faster-than-light travel (couple hundred years off, unfortunately) were probably fairly creative.
That seems to be it. All in all, it seems unfortunate that we can only reliably test intelligence.