From an orthodox perspective, to read from the Torah scroll on Shabbat is not allowed to women, nor is it permissible for women to be seen or heard during prayer so the men can have focus during prayer (men get easily distracted by beautiful women or voices, goes the reasoning, based on the fact that Miriam banged on a tambourine so the men couldn't hear their singing as all Israel rejoiced at the Sea), however, they are of course permitted to speak in a Torah class, such as your home study, and ask questions of the rabbi and of their husbands, and other teachers. The belief is that women are already closer to G-d and it's the men that have to play catch up daily, which is why men are responsible for time-dependent commands in Torah and women aren't.
But your group is a home group, a Torah class if you will, not an intended congregation setup to take the place of the weekly Torah service and Temple service. If it is, if you desire to make your home group equivalent to the Temple service, then it would be incumbent upon the entire group to respect the service as if they themselves were in the Temple performing the service (where women above were separated from the men below).
If the majority of the group is not willing, it's better to have the group remain a study group for now so that there is a greater level of freedom for all to participate more so than if it were treated as a synagogue service.
Shalom,
Israel