It's interesting to note that we humans evolved vastly bigger penises than the other monkeys (silverback gorillas are much larger than men but sport 1.25-inchers) due to women having much more choice / social capital than female gorillas.
I think the main reason why is because sex is used in humans for pair-bonding, and many human cultures have much more monogamous lifestyles—raising children together for example. Sex in humans is less for procreation than in monkeys, so larger penis sizes became more adaptive.
Also, this is why I plan to avoid fighting apes or at least try to wear some good pants if I do.
One way to test this would be analyze the fighting techniques of various primate species, and then bin them based on their penis size and relative monogamy. If all primates that grab and tear have small penis, irrespective of their pair-bonding, then perhaps the former is more important.
Also the second-to-fourth digit ratio seems correlated. Longer ring finger seems to indicate more testosterone in utero.
The (many) other claims appear to be bunk.