Russian roulette?

Clever. 

[  To cut to the chase, in the summer of 1987 Ronald Reagan had meetings with Russian President Mikhail Gorbachev

...  The more common usage of "double-zero" on roulette wheels seems less likely to be relevant here.

Russian roulette?

Both of these artists have "John" in their names, so I assume that was the message. [...]

... a voice (produced by the cartoon boobs) ... said "Double zero.  Double zero.   Double zero"

Lono, that's an interesting dream.  I did a search on some of these terms, and found a 1990 book by a guy named John Feffer which discusses arms control during the 1980s.   This led me to a few other sites.   To cut to the chase, in the summer of 1987 Ronald Reagan had meetings with Russian President Mikhail Gorbachev and proposed the elimination of all "Intermediate-range Nuclear Forces," or INFs (nuclear missiles).   This proposal was known as "the double-zero option."       Gorbachev accepted and this eventually resulted in some actual arms reduction ... at least according to conventional history.     It might be fun to try and research this further as time permits.

Dream messages seem to come from intelligent non-human entities, possibly ETs, and the abduction literature is rife with accounts of ETs warning humans about war, environmental damage and the like.    So, that seems to me like a possible a connection with your dream.   The more common usage of "double-zero" on roulette wheels seems less likely to be relevant here.

That in itself could be a visual representation of a "double-zero," with just the bottom half of the digits visible.

There were two guys hosting the show, and they were showing something someone from the audience had brought.  It was a vinyl album from the late '70s that was pressed with light vinyl instead of black, and you could see that someone had scribbled deep grooves on it using a blue ballpoint pen.  One set of grooves looked like cartoon boobs-- you know, two half-circles connected.  The other one looked like a spiral.  So, the host puts the album on, and it's a collaboration between John Travolta and Olivia Newton John.  Both of these artists have "John" in their names, so I assume that was the message.  A song started playing, and it sounded just like what these two would have done back in their "Grease" days, although I've never heard it.  It was the chorus and they were singing "ooooo ooooo ooooo ah ah ah," but overlaying this was a sound the deep scratches produced.  The main one was a voice (produced by the cartoon boobs) that said "Double zero.  Double zero.   Double zero" over and over and over again.  Then when it got to the squiggles, it sounded like a car engine going around a track.  You know that sound little kids always make to represent a race car?

I didn't realize the John part until I was remembering the dream and thinking, "Was Elton John in there?"  He would have fit right in, but that's just because he had "John" in his name.  So I"m pretty sure the message was John, John, Double-zero.  Not sure about the race car part.  Any ideas?