Then why is Sexual assault predominantly men assaulting women? If the drive were equal, I would expect there to be a roughly equal amount of harassment going in both directions. The data simply does not support that assertion
The data is self-reported and subject to pressures that skew that reporting. You cannot blindly accept that the absence of data, say for prosecutions, represents the reality of actual offences. That is not to say that is does not reflect reality, just that you need to be careful generalising.
I see two aspects at play here. First, perhaps sexual assault is not about the sexual act but more about the feeling of power the assaulter gains. In that circumstance desire for sexual intercourse, which is likely balanced given the amount of breeding that goes on, is secondary to a desire to dominate. Secondly, prosecuted sexual assault is predominantly of men against women but that does not mean that the reverse is not happening. I suspect that the nature of the assaults will be different. Women, in general, cannot physically overpower a man so perhaps these assaults tend to be of less destructively physical nature and therefore less likely to be reported or prosecuted. Assaults are generally self-reported which, as any rape victim will tell you, is a major hurdle to overcome. In the worse cases, would you, as a man, be willing to front a police station and "admit" to being overpowered by a woman? Would you expect to be taken seriously?