At first I was like No Way. And then I was like Way. There actually is a sculpture of Darth Vader included in the construction of this neo-cathedral.
In the 1980s, while the west towers were under construction, Washington National Cathedral held a decorative sculpture competition for children. Word of the competition was spread nationwide through National Geographic World Magazine. The third-place winner was Christopher Rader, with his drawing of that fearful villain, Darth Vader. The fierce head was sculpted by Jay Hall Carpenter, carved by Patrick J. Plunkett, and placed high upon the northwest tower of the Cathedral.
He’s kind of difficult to spot, but there are hints at the link. Also claimed to be in the structure are stones from Mount Sinai and a moon rock.