i would answer that in all likelyhood, very few converts to Islam are convinced of the faith after simply and primarily browsing through the hadith narratives.
rather, they are attracted to and convinced of Islam's truth through reading and hearing the Quran, studying Islamic beliefs and theology, watching and learning from practicing Muslims, comparing the Bible to the Quran, and even through listening to nasheeds.
yes, many men and women in the west do convert to Islam, and many Muslims today are active in women's rights issues and inter-religious dialog.
yet converts to a faith are not a sure indication that the faith chosen is true. for example, many Muslims every year convert to Christian faith. a Muslim would answer that their descision to believe that Jesus is divine and God's Son, and to turn away from Islam is foolish, and misguided. yet these conversions do happen. are they evidence that Christian faith is true? for a Muslim, the answer would be no.
so converts to a faith do not neccesarily mean that the faith is true. truth is not always indicated by numbers of believers.