Unfortunately, not going to work with how Jitsi does their Web API through an iframe. Ol' OpenTok, before they got bought out by Vonage, could have been used because they inftected new DOM elements into the current page. But with the Jisti Meet interface timing in an iframe, I just don't have enough access to composite things like that.
Cool, I was looking for something like this but didn't find it.
Also, reminds me that I need to submit a pull request for their iframe API, because I stumbled on some missing information in it. Luckily, was pretty easy to guess at the right values.