I wish you'd do more than post a link. I read it. I agree with parts of it. I find the author a bit disingenuous on others.
For example, the practice of female circumcision or genital mutilation, is not Islamic. The author mish-mashes it in with her criticism of Islam without stating that it is not actually an Islamic practice. It is certainly practised, in the few places where it is practiced, in areas that are also Muslim. However, in places like Somalia, it is frequently practiced by Animists, who are neither Muslim nor Christian.
I always have trouble with articles like this, as well as links to stories where the person posting the link isn't interested in stating their own beliefs, because it makes me post an argument without being able to argue against the person who made the innuendo - the article author. Drag Susan here and we can discuss this.
As regards her assertion that not all cultures and religions are equal, that's something I can absolutely agree with. However, she is conflating legal rights with personal beliefs.
I dislike Satanists (the real kind, not the disaffected kids moping around in malls with too much makeup on). I'm no fan of fundamentalist branches within Christianity, Islam, or other religions. I don't think much of certain religions that sacrifice live animals or practice 'evil magic' to pray for harm to another person. I don't think they're worthy, I don't think they are equally deserving of my respect.
However, I do believe that they are equally deserving of legal protection, to the extent that they do not infringe anyone else's rights. And that, to me, means they are equally deserving of my toleration. I don't care for snake handlers speaking in tongues, I really dislike members of certain churches who protest at military funerals and hold up signs that say "God Hate Fags" and so on. I think little of them, I do not think they are worthy of any respect at all. But as a defender of the Constitution, I must grit my teeth and defend their right to believe what they will. If they don't have rights, then neither do I.
As to the author's statements about arranged marriages - I am even less in agreement with her. Not only on the basis of religion, but on the basis of non-government intervention within the family, I think it is none of my business. That does not mean I do not have sympathy for the woman who did not want an arranged marriage. I would absolutely support her right to refuse to follow her parent's demands. But intrude by law into how her family runs their family? No. Demand that her religion stop creating arranged marriages? Nope. That's not a 'liberal' or a 'conservative' viewpoint. That's a viewpoint that supports the rights of the individual, the family, the limited role of government, and the rights to freedom of religion and tolerance for religion. Multiculturalism run amok? Hardly - I don't approve of arranged marriages, I think they're a bad idea. But it's not my business.
NOTE: Not sure what any of the items on the link has to do with the topic, either.