I'd like to see occasional guest appearances where, for example, the likes of the leaders of the three main parties logon for an hour or so to respond to questions in real-time. Could also invite local police, hospital chiefs, councillors etc to do the same.
I am not sure if any special software exists, but First Capital Connect run extremely popular 'online forums' every few months where the MD and other key members of staff (safety, planning, timetabling, infrastructure etc) participate to answer questions directly. They're incredibly honest and it's probably better than attending a meeting where you may not get to ask all the questions, or exactly how you wanted to ask them.
The key to their system is receiving all the questions within the 2-3 hour period, but they're not posted as in a chat room or a visible forum. You get a question number allocated and they'll answer as quickly as possible - not necessarily in order (as some things require a more detailed answer).. but rest assured, you'll get an answer. Your details remain private too, but they can contact you after to follow things up if you want more information or you venture into a field that cannot be answered there and then.
It's worth investigating. More businesses should do it, and I am sure it would work very well for politics too.