1- Hizbul Tahrir do no follow the teachings of Ahlulbayt (a), so we don’t agree with their assessment.
2- Unfortunately there are many misogynist men out there, and the cause is culture not religion.
3- If you want to know about the place of women in Islam, look at the Prophet (s) and his family. See how they treated their women. The Prophet loved Khadija. She was an independent businesswoman who was very successful. He respected her and always remembered her after she died. He would cry.
So how he treated his daughter Fatima. He would stand up for her and show her utmost respect. This is the true Islam.
Islam respects women and considers them equals to men. They are not inferior. Yes, there are some laws that are different because men and women have biological and psychological differences, so some laws are different (like hijab and inheritance). We call this separate but equal. So don’t listen to these men. The Qur’an respects women and promises them the same reward/status as it does for men if they believe and do good deeds.