First I have to admit that I haven't read all of The Invisibles
yet, due to money shortage. (And none of the before that came before.)
So as I wasn't subjected to the full effect of the story/sigil, there have been no appearances of actual Morrison characters in my dreams.
I did have dreams, though, that wee influenced by Morrison's ideas and writing.
Two years ago I was thinking about something Morrison had said in a (then new) interview (at Disinfo.com), regarding multiple personalities and that, in the future everyone would have them; a personality for every situation.
In the same vein, he says in his forthcoming novel The If of a character, that she has "multiple personalities rotating like kebabs to process the trauma of the unforgettable wound. With 164 alters to juggle her agony."
So I was thinking about that and the following night I had a dream in which I (or someone else?) was standing inside this white space, like the program in The Matrix were they load their weapons, only in my dream the program was loading personalities.
In some way the dream, as is so often the case, was just two things coming together, as I've read a film magazine that day, with a discussion of the forthcoming Matrix: Reloaded.
But it was more than just that. It felt like an existential truth had been transmitted to me.
What I've written above just explains the 'plot' of the dream, though. There were a lot of feelings and other information (all non-verbal) I can't really explain.
Another dream I had was influenced by The Invisibles. Bloody Hell in America. Actually it was revolving around a creatinon of mine I want to write about in the future.
But in the dream it took the place of the silver liquid that we see again and again in The Invisibles (and which I think is the one in your dream). It was somehow the soul/essence of a person
(at least in my dreams it is never sure if it's me or someone else) and this person was giving it up for someone else who needed help. It was some sort of a sacrifice and reminded me of the feeling I've had before, that I Am Not My Soul.
The Dream made the idea I had into a powerfull metaphor.
(I'll tell you when I'll have written it.)
After I had read Seaguy and, again, a Morrison interview, I had the stangest dream in a long time (if not ever):
I was in space somehow, but it resembled the Negative Zone of Marvel Comics where all the planets are to close to each other (or at least it's always drawn that way).
So, I saw different planets, nothing weird so far except how large they were, while, at the same time very close to each other.
Now I remember that i was first on Earth, looking up into the sky, seeing the BIG planets. Then I was lifted into space.
When I looked around i saw a silver/iron planet that was made out of diffent discs that were simultaneously rotating around a horizontal and a 25° axis, which just isn't possible. The rotation had a rythm to it as well; something along the lines of
'dum.dum. pause. _ dum.dum.' etc. only more complex.
It's not directly influenced by anyting in the book, but I feel that Seaguy has opened me up for it.

I have still some other things to say about another dream (being posessed by Bob from Twin Peaks) and how bad my life was during the period I was reading The Filth and watching Twin Peaks for the first time, but for now I'll leave it at that.

I dreamt I was 'inside' the comic, watching the events unfold, removed almost from it.

As the red dot (Barbelith) approached Jack Frost at the end I stared into it and saw myself outside the comic looking in.

Strange...

No, but they've influenced my visions/hallucinations/psychedelically altered reality perceptions. Does that count?