Your argument is a straw-man. Red-herring, I believe; although that seems confounded with ad hominem.
I agree with you completely that to support health-care coverage for Viagra while not supporting it for birth-control is terribly misogynistic.
However, if someone combines this misogynistic belief with concern about women's education, that simply makes him a hypocrite (and possibly an a**hole). It does not negate the importance of women's education. The birth control issue is a red herring to that debate, and the fact that the author is a hypocrite also, while a valid criticism in the personal sphere, does not negate the importance of women's education, or the validity of arguments based upon its importance.
FYI, personally (since that appears fundamental to your argument style) I also agree with you that the response to 9/11 was incompetent and criminal, due to the Bush administration and various, primarily Neo-Con (and Neo-Trotskyite) thinkers (including Hitchens). I was shocked at the idea of the Iraq War, horrified that PNAC had pushed for it years previous, and frightened at the apparent insanity latent in the American population that they would even consider letting this absurdity go through.
I did actually move to Canada shortly before the Iraq war started. I got a student visa for this purpose, refusing to even apply to a single American university that year, and stayed in Canada until it was clear a Democrat who has initially opposed the Iraq war was to be elected in 2008. I'm currently extremely angry at Obama for not pushing war crimes investigations against the Bush admin, and am for that reason (as well as culture shock -- coming back here I can't bear the comparative nastiness, dominance-orientation, and saccharine-sweet fake nice) planning to immigrate either back to Canada, or else to the UK (where large numbers of people bother to protest seriously), in the next few years.
That said, the destruction of girl's schools in Pakistan and Afghanistan (have you read _Three Cups of Tea_?) is an absolutely horrible thing, and it is too little talked about IMO, and anyone willing to mention it in print gets kudos from me. Also, for all that I am in favor of birth control--use it myself--being murdered and having your only chance at education destroyed is actually a much larger women's rights issue than birth control, IMO. (Unless white women's pressing rights issues count for more than brown women's, in which case, by all means, compare difficulty in getting birth control to being shut in home, actively denied the barest literacy, and murdered for going to school.)
Similarly, the issue of "what Islamofascists would do to your daughter if they could get their hands on her", while admittedly often used here as a way to use racist fears to distract away from Republican and Neo-Con incompetence, is nevertheless an actually important issue, especially if you have female relations in the Middle East for whom you care, and who are in no small part genuinely endangered by the Bush-and-Neo-Con-assisted Islamofascist increase in power.
My main point is less about the issues, than that you muddle them with so many fallacious conclusions that are extremely difficult to sort through. I agree with you on essentially all your basic points -- Hitch is a hypocrite, women have a right to birth control, Islamofascists-and-your-daughter is used in the US mainly as a distraction, Bush and many in his admin are criminal and made the global danger from Islamofascism much worse -- but in drawing your conclusions something extremely strange happens, and you end up looking like you care more about a journalist's hypocrisy than about girls being forced into illiteracy, or the equivalent of the Spanish Inquisition pushing through the UN -- the closest thing we have for globally common government -- a absurdly totalitarian restriction that their beliefs are not to be criticized.
By the way, as far as what we should actually DO in Afghanistan and Pakistan (where so many girls can no longer go to school), IMO see Ted Rall. That's not linked to what I think are the main points in the Hitchens piece, but given your argument style, my gut is telling me I'm probably going to be attacked as itching for war escalation in Central Asia. For what it is worth, I'm not.