During the India-Pakistan War in the early 70's, I had the opportunity to witness a pair of F4s on hot alert standby, launch from the USS Enterprise on an intercept mission. Almost immediately upon leaving the flight deck, they disappeared into the cloud cover. Much like what that video showed, a very impressive sight to see.
Oh, the unidentified boggie turned out to be an Australian Airliner. I can only imagine what the passengers and flight crew thought when those two fighters dropped down beside them.