This is silliness. I speak as no Barbie fan, mostly for perplexed aesthetic reasons and a few of the regular qualms, while knowing that millions of little girls have enjoyed having them and appreciating that. I don't think they're really so different in effect than the zillion little dolls available in my childhood. A friend of my husband and me even took Mattel to the supremes to defend his right to ridicule Barbie in his art, and won. Talk about a slippery slope, let's ban all dolls..
I'm not so sure the people behind this ban, or in front of it, expect it to succeed re any challenges in court; it could just be a ploy to motivate people not to buy them.