I recently visited the USS Constitution whilst i was in Boston and the tour was excellent and lead by a serving Petty Officer in the USN who was fiercely proud to be a memeber of her ships' company. An excellent tour as good as the one on HMS Victory and full of great stories.
They do 'doff their caps' to Victory during the tour and acknowledge her as being the older of the two and her status in history. Both are excellent visits if you get the chance. Regards Junglie