Also, though Wikipedia is not an entirely reliable source, it contradicts your claim that "men hunt women gather" is a human universal. Though it's more common than not, there are a few hunter-gatherer tribes where women help men track animals, or where men also gather sometimes, and at least one tribe where women also kill the animals.

Not that you're likely to read this, of course, since you posted the OP years ago, but I just thought I should further point out that your theory is very improbable.