I don't think this is a good way to look at it. I know plenty of conservative, Christian women who were in support of what happened yesterday. Granted, that is largely because of where I have spent the last few decades.
Abortion is not a women's issue. It's an ideological issue. It's about the proper role of the state. It's about the ability of one group of people to criminalize the behavior of another. We do that with things like rape, murder and theft because those behaviors harm others. We really shouldn't be doing that the rest of the time. This is why men who are sitting on the fence should care, despite not having a dog in the hunt directly.
What we have in this country is a whole host of people who want to tell other people what to do with their bodies. Liberals want to be able to ban smoking, but also favor access to safe and legal abortions and marijuana legalization. Conservatives prefer the reverse. This is nuts, in both cases. Banning any of those things creates problems. The proper role of government here is to regulate all of those things in such a manner that the only harm people can do through any of those choices is to themselves.
If we all could agree to get out of other peoples' lives insofar as it is possible, the railroad would run a lot smoother.