Yes, I implemented the ability to interrupt the chatbot while it is talking. It wasn't too hard, although it does require you to wear headphones so the bot doesn't hear itself and get interrupted.
The other way around (bot interrupting the user) is hard. Currently the bot starts processing a response after every word that the voice recognition outputs, to reduce latency. When new words come in before the response is ready it starts over. If it finishes its response before any more words arrive (~1 second usually) it starts speaking. This is not ideal because the user might not be done speaking, of course. If the user continues speaking the bot will stop and listen. But deciding when the user is done speaking, or if the bot should interrupt before the user is done, is a hard problem. It could possibly be done zero-shot using prompting of a LLM but you'd want a GPT-4 level LLM to do a good job and GPT-4 is too slow for instant response right now. A better idea would be to train a dedicated turn-taking model that directly predicts who should speak next in conversations. I haven't thought much about how to source a dataset and train a model for that yet.
Ultimately the end state of this type of system is a complete end-to-end audio-to-audio language model. There should be only one model, it should take audio directly as input and produce audio directly as output. I believe that having TTS and voice recognition and language modeling all as separate systems will not get us to 100% natural human conversation. I think that such a system would be within reach of today's hardware too, all you need is the right training dataset/procedure and some architecture bits to make it efficient.
As for giving the model eyes, actually there are already open source vision-language models that could be used for this today! I'd love to implement one in my chatbot. It probably wouldn't have social intelligence to read body language yet, but it could definitely answer questions about things you present to the webcam, read text, maybe even look at your computer screen and have conversations about what's on your screen. The latter could potentially be very useful, the endgame there is like GitHub Copilot for everything you do on your computer, not just typing code.