Invade Pakistan, kill all the Muslim men, take the women (who, I'm sure, would prefer to toss the burkhas in the trash)
It is hard to argue with a young man with a glint in his eye, more so if there are a few hundred million and no girls to be had. Your scenario is quite plausible and it will be interesting to see how this plays out. Funny, you don't read about how this is going to factor into global events in the near future.