I've never been to DC, let alone been invited to the White House. I may be wrong, but I can't imagine that it is the done thing for either men or women to bare all there.
No. It is not done. Also, there's more 'decorum' in our Congress than in the UK...there's rarely, if ever, shouting matches. While I find it's kinda fun to watch Parliament get heated, it's different in the Congress. The White House is even more 'stately'. Not completely dissimilar to some European royalty, just elected in!