I'll address the points the lady in the second video brought forth one by one.
1-"Women are being oppressed in sharia courts". There are no sharia courts that correctly implement the sharia today, not even Saudi Arabia. It's their culture and beliefs packaged with the label of "sharia". Therefore, women are being oppressed by their corrupt government, not sharia.
2-"Mut'ah marriage is allowed" No, it is not. Only shiaa practice this, by people who follow the sunna it is completely forbidden.
3-"Having sex with an infant is allowed" Um, are you freaking kidding me? First of all, you can't have sex outside of marriage. In islam, you can't marry (and by marry I mean consumate the marriage, ie have sexual intercourse with) someone who has not reached puberty, and you can not marry someone without their consent. A two year old has neither reached puberty, nor can she give consent. (oh,as for "those who never had menses", it's like how the prophet married Aisha when she was 6, and consumated the marriage when she reached her menses at 9. You can not have sex with someone who has not reached puberty. If the prophet (pbuh) had wanted to divorce Aisha before she had reached her menses ie BEFORE he had sex with her, her waiting period would have been 3 months.)
4-"The woman is a prisoner in her home, can't study, has to look after the kids, etc." Again, are you kidding me? CULTURE with the label of islam. Woman are required to seek knowledge, she is perfectly capable of going to school and university. In islam she is obviously allowed to go out of her house and do whatever she wants (as long as it's not haram of course). She even says it herself "These are women whose families are extremist". Yeah, because that's exactly what islam preaches, being extreme. Islam teaches moderation, if people want to twist it around, that's their problem, not islam's. "They force them to marry against their will". Again, if the husband and wife do not give their consent to the marriage, it is NOT A VALID MARRIAGE.
Just to add, I found this woman 1000 times more respectable than wafa sultan.