I know quite a few people who are pro-life. I can not think of a single one who I suspect of holding that position due to any antiquated notion regarding the suppression of women's rights. If there is a canard to be had, that is it. Women's rights, or the desire to limit them, have nothing to do with why those people oppose abortion. There is no bright line between fertilized egg and sentient being. Without fail the people I know who oppose abortion do so because they firmly believe they are advocating for those without voices of their own. To claim that the desire to take away the rights of the mother is a motivation for the pro-life movement is at best a strawman deflecting us from the deeper questions raised in the debate.
Well, Mr. Obama does have a very strong pro-abortion record of votes and appointments. Some will support him for that, others will oppose him, but his record is public knowledge.