IMHO, if you compare the actual texts of the Bible vs. the Qur'an, then yes... Islam is much more woman-friendly. It was definitely a feminist religion in the 7th century when it was founded.
Women are specifically given the right to inheritance...which did not exist in the West...as property almost always went to the elder son or male heirs.
Women had the right to own property. And as noted by Harvard law professor, Noel Feldman..."As for sexism, the common law long denied married women any property rights or indeed legal personality apart from their husbands. When the British applied their law to Muslims in place of Shariah, as they did in some colonies, the result was to strip married women of the property that Islamic law had always granted them — hardly progress toward equality of the sexes."
Women were encouraged to be educated...as education was valued for both men and women. They were both encouraged to learn the Qur'an...and one of the earliest scholars, for lack of a better word, in Islam was a woman...the Prophet's youngest wife, Aisha.
Women were given a choice in marriage...and could not be married without their consent.
Female infanticide was banned in the establishment of Islam... which was a very common practice at the time. Also, it's worth noting that Prophet Muhammad only had surviving female children...which he doted on...which also helped negate some of the male-child superiority (although this does still exist in many cultures).
The dowry in Islam (known as mahr) is given to the Bride... it is not a payment made by the Bride's family to the groom or groom's family. This money is hers to do with what she likes.
Women were given the right to divorce in Islam as well.
Prophet Muhammad's first wife was 15 years older than he. Many of his other wives were widowed or divorced. Thus, although it didn't totally obliterate it, barriers to marrying older woman, divorced and widowed women were broken.
Muslim women founded numerous universities including the University of Al-Karoune in Morocco in the 9th century. Muslim women were earning degrees and acting as teachers at University in the 13th century.
Muslim women keep all of her possessions upon marriage (no transfer of property)...and in many Muslim countries (as well as the US) keep her own name as well. (Which seems rather feminist to me.)
There have been many women heads of state in modern times... Pakistan, Indonesia, Bangladesh, and Turkey.
With all of that, you have to contrast with how many use Islam to harm/hinder women. Do I think it was the intention of Prophet Muhammad or even God? No... but it happens. And it is happening a lot in certain parts of the world right now. Some people feel that two women are needed as witnesses to one man... some apply this only to financial transactions, other to all transactions. Yet I have to wonder... I have an MBA and BBA in Int'l finance. My DH is clueless about all things financial. Yet somehow, his testimony would be worth more than mine? Even if we go back to the time of the Prophet, I'd have to believe that Khadijah, the Prophet's first wife and a businessswoman, would be able to be a better witness on a financial matter than many men. I still have no idea how the Taliban even gets away with throwing acid on school girls or banning girl's schools. I have no idea how honor killings are justified, when Islamic shariah specifically goes against any sort of vigilante justice... heck, it requires four witnesses for adultery. (Who invites witnesses??

I think one issue in the States is that Americans never see the diversity of Islam. The largest Muslim country is not in the Middle East, it's Indonesia. It has more Muslims than the entire Middle East combined. The next three largest countries are all in Asia (Pakistan, India, and Bangladesh). The fifth largest Muslim country is the very secular Turkey. After Turkey, there's finally a Middle Eastern Muslm country, Egypt. We rarely see Islam from Indonesia portrayed in this country. We rarely hear about Indonesia and Turkey in this country... and they are two successful Muslim-majority countries.