I'm with aloha here - sperm competition is pretty complicated stuff - the ph of the vagina is meant to make a difference, for one thing. Male sperm are faster, but female sperm are hardier.
Sex selection in other mammals (never mind bugs, who are really impressive with this stuff!) is pretty complicated, and in primates is often closely related to maternal status.
(I've been rereading Sarah Blaffer Hrdy lately, who is very interesting, on these sorts of subjects.)
I do think tamum has a point, though - the mechanisms for sex selection in males and females are totally different, and are very unlikely to be related, at all.