Especially with a room full on non-Muslims, trying to get a Muslim leader to explain these particular Quranic verses/hadiths could work well.
Just read the Quranic verse/hadith and get the Muslim leader to explain why he personally believes muhammad/allah said such things:
If the party liable is mentally deficient, or weak, or unable Himself to dictate, Let his guardian dictate faithfully, and get two witnesses, out of your own men, and if there are not two men, then a man and two women, such as ye choose, for witnesses, so that if one of them errs, the other can remind her.
This verse clearly tells us that the testimony of a woman is of less value than the testimony of a man.
Why do you personally believe the god you worship thinks the testimony of women is less valuable than the testimony of men?
Allah (thus) directs you as regards your Children's (Inheritance): to the male, a portion equal to that of two females: if only daughters, two or more, their share is two-thirds of the inheritance; if only one, her share is a half. For parents, a sixth share of the inheritance to each, if the deceased left children; if no children, and the parents are the (only) heirs, the mother has a third; if the deceased Left brothers (or sisters) the mother has a sixth. (The distribution in all cases ('s) after the payment of legacies and debts. Ye know not whether your parents or your children are nearest to you in benefit. These are settled portions ordained by Allah; and Allah is All-knowing, All-wise.
This verse tells us that in matters of inheritance, "to the male, a portion equal to that of two females".
The implication is that women are less capable of dealing with financial matters than men. Why do you personally believe that the god you worship believes males deserve twice the inheritance of females?
Qur'an (4:34) - "Men are the maintainers of women because Allah has made some of them to excel others and because they spend out of their property; the good women are therefore obedient, guarding the unseen as Allah has guarded; and (as to) those on whose part you fear desertion, admonish them, and leave them alone in the sleeping-places and beat them; then if they obey you, do not seek a way against them; surely Allah is High, Great."
Why do you personally believe that your god thinks men are the owners of women?
Also, why do you personally believe your god commanded men to beat women if they disobey?
Let's take a look at what Bukhari had to say:
Volume 1, Book 6, Number 301:
Narrated Abu Said Al-Khudri:
Once Allah's Apostle went out to the Musalla (to offer the prayer) o 'Id-al-Adha or Al-Fitr prayer. Then he passed by the women and said, "O women! Give alms, as I have seen that the majority of the dwellers of Hell-fire were you (women)." They asked, "Why is it so, O Allah's Apostle ?" He replied, "You curse frequently and are ungrateful to your husbands. I have not seen anyone more deficient in intelligence and religion than you. A cautious sensible man could be led astray by some of you." The women asked, "O Allah's Apostle! What is deficient in our intelligence and religion?" He said, "Is not the evidence of two women equal to the witness of one man?" They replied in the affirmative. He said, "This is the deficiency in her intelligence. Isn't it true that a woman can neither pray nor fast during her menses?" The women replied in the affirmative. He said, "This is the deficiency in her religion."
Why do you personally believe the god you worship has placed more women in hell than men?
Also, why do you think Muhammad said that women are "deficient in intelligence"?
Quran 2:23 Your wives are as a tilth unto you; so approach your tilth when or how ye will; but do some good act for your souls beforehand; and fear Allah. And know that ye are to meet Him (in the Hereafter), and give (these) good tidings to those who believe.
This verse seems terribly insensitive to me. Why do you think your god said something like this?
Let's take a look once more at what Bukhari had to say:
"If a husband calls his wife to his bed [i.e. to have sexual relation] and she refuses and causes him to sleep in anger, the angels will curse her till morning"
Why do you personally believe that your god sends angels to curse women all the night long if they refuse to have sex with their husbands?
Personally, I've never heard a Muslim come up with a "good" response to these questions. Some non-Western Muslims have simply said things like, "Because women aren't as intelligent/reliable as men", etc., but obviously, that's not going to fly with a room full of Westerners.