Why was the Vigilante never offered as an Interceptor to the USN?

First I must confess that I have a bit of a fetish for North American Aviation designs, paticuarly what I like to call the big three of the Vigilante, Valkyrie and Rapier. So the question is why was the Vigilante never offered to the Navy as an interceptor for the same role that the F6D Missileer and F111B were designed for. The Vigilante seems like the perfect candidate, fully carrier capable, large radome, large payload, long range, two seater and high speed. It just seems strange that it was never proposed, I am sure that it could carry at least 4 AIM-47s?:confused:

I know that at least two interceptor variants were proposed to the Air Force, one with a rocket engine added and one with an extra J79. It seems to me that even without such extra propulsion the Vigilante could have filled the role for the USN up until the F-14 Tomcat came along?

Thoughts opinions any extra information or pictures of sexy North American Aviation aircraft?

Thanks in advance sealordlawrence.