No, the Obama campaign is not supporting spousal abuse. This is just a snarky comment on the staff pick for the Obama campaign's store.
I think the campaign forgot that some people will poke fun at them. If you go to the store's "essentials" page you will see you get twelve items on a page. There are fifteen pages, but the last has only four items. So there are 172 items to choose from as a staff pick.
They chose the tank top. Nickname : the wife beater.