I am not putting forth any alternative hypothesis, and there is no problem with me denying the test. I am fully willing to believe absolutely everything you say, if you can prove it. How do we measure intelligence? As a neuroscience and psychology major, I can only say that I don't think it is possible to measure intelligence. You have to remember that the burden of proof here is on you. None of what you described sounds like a reasonable measure of intelligence to me, since every culture (and indeed, every person) on the planet places a different value on each of those things. If you take a mechanic with 2 years experience and an IQ of 90, along with a biochemistry major with an IQ of 130, and put them next to a broken car, I'll tell you who the genius is. Why is context so hard for you to understand?
Finally, intelligence and physical skills are of a completely different quality. Kind of like comparing apples and oranges, don't ya think? You are also going to have to define "race" for me. As I'm sure we all know, there are no genetic definitions for race. Perhaps the racial differences you are harping on about are synonymous with cultural differences. How about this; you take a bunch of "Mayans" and give them the interest in basketball (something which can be cultural) and the resources to learn basketball (also cultural), and then see how good they are. Just as good as blacks? You bet.
No I do not think so. Its all just neural connections, neural transmitters, biochemistry. Why would the ability of a brain to process and organize information be different than the ability of fast twitch muscle fiber performing athletic events?