It's a Vought F7U Cutlass, "a United States Navy carrier-based jet fighter and fighter-bomber designed and produced by the aircraft manufacturer Chance Vought. It was the first tailless production fighter in the United States as well as United States Navy's first jet equipped with swept wings and the first to be designed with afterburners."
Here a picture of the tail number 415:
Apparently the unique design wasn't that good since "Over one quarter of all Cutlasses built were destroyed in accidents; this high rate of accidents led to the type being withdrawn during the late 1950s despite having been in service for less than ten years."
Wikipedia has plenty of information about it.
P.s.: even if I'd have also chosen the F-35 at the end, anyway the X-32 on the opening picture of the video is in my opinion not that ugly 😉