I've been playing around with SimpleWebRTC.js and the very interesting-looking Talky website, which allows anyone to create a video chat room on-the-fly by entering it in a form or putting the name of the room at the end of the URL. I also looked at the SimpleWebRTC demo, because it seems to be a simpler version of Talky that I could use to get started. Apparently, something like this is extremely easy to implement, and can be set up in as little as 5 minutes. Sadly, it seems they were exaggerating just a bit when they said it could be set up in 5 minutes.
I like the idea, and I like the fact that it's open source, but it took less time to write this rather extensive blog post than it took to find out that there was no way I was going to be able to make SimpleWebRTC.js work on my server. So I guess since it took me several hours of messing with this thing only to find that something that is said to be usable within 5 minutes doesn’t work at all no matter what I try, and since there is too little documentation on how to make the signaling server run, I will have to table this project for now, and hope that the situation will improve with time.