Why don't they try something really novel like preaching the Gospel of Jesus Christ and honoring Him? That would probably do wonders for their attendance.
They could even legitimately call themselves a "church" and drop the pretense.
(Full disclosure: I am LCMS Lutheran; I have never been an Episcopalian, though I have been substitute-organist in Episcopal churches perhaps a half-dozen times, the last time being 7-8 years ago.)
I think it is the ultimate, pitiful irony of all this, that the National Cathedral, in order to regain its standing as an orthodox-in-doctrine Christian church, would have to break off its American affiliation and come under the bishopric (if that is the correct term) of John Guernsey, who oversees those Episcopal churches in the US who have come under the [Anglican] Church of Uganda.
Every time I have gone to DC I have made a side trip to the Cathedral, but the last few times I visited, I felt perhaps a little like Peter or Paul, the saints for whom the Cathedral is named, at the Temple: they belonged there, God was worshipped there, but the doctrine there was all twisted--and both would have known Jesus' prophecy, that ultimately the Temple had to be destroyed by pagans, in order for God to have a place where He could be worshipped in Spirit and in truth. I hope the same fate does not have to befall the Cathedral.