There is a BIG difference between being a member of a committee and being the chair of a committee. It's desirable to have a dissenting voice on a committee, as it mitigates the 'Group Think' syndrome that can dominate a homogeneous committee. But the chair has the responsibility to govern the flow of the committee, to choose the topics for discussion and who is called upon to speak at points during a meeting. 
There is also a BIG difference between expounding one's personal views and fighting against the legislation or constitution of the country. A woman's right to have an abortion was legislated decades ago. Any MP can challenge that legislation at any time. But to have an Anti-Abortionist (who thinks that a woman should not have the right to chose on some matters) as the chair of a committee that should be defending a woman's right to chose on any matter is a clear slap in the face for all women. 
Our current legislation on abortion gives women the right to chose. Leave it as is.