Actually, the only clash here is over which part of the woman should be covered in black and which part should be exposed--and on this issue the two magazines are completely at odds. They are in broad agreement about how to get people to pay attention to your magazine.
I wonder how these covers affect how the cover stories--Newsweek's by Katie Roiphe and FP's by Mona Eltahawy--are being received. Eltahawy's is a particularly interesting case. Her piece is a passionate indictment of the way women are treated in Arab countries. And I would imagine that some of the people in those countries who most resist her message might try to use the cover to discredit it. (Though it's hard to tell in this thumbnail image, the woman is covered only by paint, and the lower part of her breast is visible.) Then again, there's an Arabic edition of FP, and it wouldn't shock me if its cover has a different look.