Democrats have attempted to frame Republican-led efforts to ban late-term abortions as an assault on women’s health and the latest salvo in the ongoing “war on women.” But it turns out that banning late-term abortion is more popular among women than President Obama’s health care law, according to recent polls.

In the wake of the murder trial of Philadelphia abortion doctor Kermit Gosnell, Republicans at the state and federal level have pushed bans on abortions conducted after 20 weeks of pregnancy. “GOP lawmakers escalate their war on women,” blared a headline on the MSNBC website. Last week, the Republican-led U.S. House of Representatives passed such a bill. When the Texas legislature attempted to do so this week, Wendy Davis, a Democratic state senator, launched a 13-hour filibuster, making her an instant hero among liberals.

But a new poll by National Journal challenges conventional wisdom. When asked if they would support or oppose a bill that bans abortions after 20 weeks and has exceptions for rape and incest (as the House Republican bill does), 50 percent of women responded that they would support it, compared with 44 percent who said they would oppose it. (Interestingly, the level of support was higher among women than among men.)

In contrast, just 35 percent of women said they had a favorable view of Obamacare, according to a June Kaiser Tracking poll, compared with 41 percent who had an unfavorable view of it.

So, to sum up, 50 percent of women support the House GOP abortion bill and just 35 percent of women support Obama’s signature health care law. Remind me — who has launched the war on women’s health again?